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Linear Algebra Final exam review: Part 2
The second part of the linear algebra review! We continue from question 21 onwards.
00:00 - Question 21 (Subspaces with linear combinations)
03:33 - Question 22 (Finding what is and isn't a subspace)
15:59 - Question 23 (Checking if a set of vectors forms a basis)
19:45 - Question 24 (Transformation of polynomials)
25:00 - Question 25 (Basis for the span of vectors)
27:02 - Question 26 (Row space, column space, null space, Rank and nullity)
33:39 - Question 27 (Row space with transposes)
35:58 - Question 28 (Dimension and subspaces with the Rank nullity theorem)
39:48 - Question 29 (Gram schmidt and orthogonal decomposition)
57:00 - Question 30 (Orthogonal complement with row space)
1:00:57 - Question 31 (Transition matrix + Coordinates)
1:04:21 - Question 32 (Orthonormal vectors with linear transformations)
1:25:55 - Question 33 (Linear transformation of orthogonal projection)
1:32:40 - Question 34 (Vector closest to row space)
1:37:24 - Question 35 (Rotations and isometries)
1:39:25 - Question 36 (Complex eigen values + Diagonalization to find large matrices)
1:59:53 - Question 37 (Definition of eigenvectors and eigenvalues)
2:02:10 - Question 38 (Diagonalizing a matrix)
2:11:33 - Question 39 (Orthogonal Diagonalization of a matrix + Eigenvalue properties)
2:25:32 - Question 40 (Determinants using eigenvalues)
มุมมอง: 6 372

วีดีโอ

Linear Algebra Final exam review: Part 1
มุมมอง 12K3 ปีที่แล้ว
Welcome to to calculus II final exam review! In this video, we go over a standard final exam review for Linear algebra. Feel free to use the timestamps to go the question you wish! Please not that because the exam review is so large, it has been split into two parts. 00:00 - Introduction 01:02 - Question 1 (Elementary row operations) 11:47 - Question 2 (The inverse of a matrix) 17:48 - Question...
Calculus II: Final exam review!
มุมมอง 8K3 ปีที่แล้ว
Welcome to to calculus II final exam review! In this video, we go over a standard final exam review for Calculus II. Feel free to use the timestamps to go the question you wish! 00:00 - Introduction 01:26 - Question 1 (Radius and interval of convergence) 13:24 - Question 2 (Radius and interval of convergence) 18:24 - Question 3 (Integration as a power series) 23:25 - Question 4 (Power series re...
Calculus II: Unit Tangent, Unit normal and Binormal vectors
มุมมอง 2.9K3 ปีที่แล้ว
In this video, we close off the last topic in Calculus II by discussing the last topic, which is the idea of Unit tangent, Normal and the Bi-normal vectors. We also discuss Osculating and normal planes. 00:00 - Introduction 00:45 - Definition 03:40 - Example 1 14:14 - Normal and osculating planes
Calculus II: Curvature
มุมมอง 1.8K3 ปีที่แล้ว
In this video, we discuss the notion of curvature and how it relates to other topics we learned about in Calculus 1 regarding rate of change. 00:00 - Introduction 00:19 - Definition of Curvature 01:40 - Calculating Curvature 03:14 - Example 1 09:49 - Alternative method for calculating Curvature 11:01 - Example 2
Calculus II: Surface of revolution
มุมมอง 2.8K3 ปีที่แล้ว
In this video, we discuss how to compute the surface area of a curve rotated about a line. 00:00 - Introduction 00:18 - Definition 00:56 - Surface area about x and y axis 03:35 - Example 1 06:29 - Surface area involving parametric equations 08:05 - Example 2
Calculus II: Arc length of a curve
มุมมอง 2K3 ปีที่แล้ว
In this video, we discuss how to find the arc length of a cartesian curve, a parametric curve, and a polar curve. 00:00 - Introduction 00:18 - Arc length of a Cartesian curve 01:50 - Example 1 04:53 - Arc length of a Parametric curve 06:05 - Example 2 08:40 - Arc length of a Polar curve 09:30 - Example 3 23:35 - Arc length of a Space curve 24:55 - Example 4 30:38 - Example 5
Calculus II: Limits, derivatives and Integrals of Vector functions
มุมมอง 1.7K3 ปีที่แล้ว
In this video, we discuss how to find limits, derivatives and integrals of vector valued functions in space. 00:00 - Introduction 00:30 - Limits of vector valued functions 01:47 - Example 1 02:59 - Derivatives of vector valued functions 06:58 - Integration of vector valued functions 08:03 - Example 2 10:43 - Example 3 12:45 - Example 4 14:31 - Example 5
Calculus II: Parametrization of surfaces
มุมมอง 2K3 ปีที่แล้ว
In this video, we extend our understanding of space curves and discuss hot do describe equations of various quadric functions with vectors. 00:00 - Introduction 00:50 - Example 1 03:28 - Example 2 14:29 - Example 3 16:47 - Example 4 18:57 - Example 5
Calculus II: Vector functions and space curves
มุมมอง 2.4K3 ปีที่แล้ว
In this very brief video, we introduce the idea of a vector valued function and space curves and discuss finding domains of space curves. 00:00 - Introduction 00:38 - Definition of vector functions and space curves 02:55 - Example 1 04:56 - Example 2
Calculus II: Cylindrical and Spherical coordinates
มุมมอง 2.2K3 ปีที่แล้ว
In this video, we discuss cylindrical and Spherical coordinates which can be useful on occasion when working with different coordinate systems to approach different kinds of problems. 00:00 - Introduction 00:12 - Definition of Cylindrical and Spherical coordinates 13:53 - Example 1 15:32 - Example 2 18:19 - Example 3 19:21 - Example 4 23:48 - Example 5 27:37 - Example 6 30:22 - Example 7 37:19 ...
Linear algebra: Basis and dimension
มุมมอง 2.1K3 ปีที่แล้ว
In this video we talk about what a basis is, what it means for something to be a basis and how to find a basis for some vector space. 00:00 - Introduction 00:20 - Definition of a basis (With a example to explain) 03:19 - How to check if something is a basis 04:14 - Example 1 12:38 - Example 2 16:38 - Common basis vectors for a vector space 19:35 - Definition of dimension 20:47 - Dimension of si...
Calculus II: Cylinders and quadric surfaces
มุมมอง 3.5K3 ปีที่แล้ว
In this video, we discuss cylinders in 3D space and the idea of quadric surfaces. imgur.com/a/Y8BzdAj (Link to Quadric surfaces) 00:00 - Introduction 00:17 - Definition of quadric surfaces 02:39 - List of quadric surfaces and equations of quadric surfaces 05:35 - Definition of a trace 10:23 - Example 1 16:57 - Example 2 29:28 - Example 3 32:28 - Example 4
Calculus II: Equations of lines and planes
มุมมอง 3K3 ปีที่แล้ว
In this video, we discuss the first part of vector calculus by prefacing the idea of how to get equations of lines and planes in 3 dimensions using vectors. We also do many examples on how to use lines and planes. 00:00 - Introduction 00:59 - Equation of a lines and various forms of a line 09:00 - Example 1 13:11 - Equation of a plane 21:08 - Distance between a point and a plane 22:54 - Example...
Calculus II: Integration over polar curves
มุมมอง 2.7K3 ปีที่แล้ว
In this video, we discuss how to find the region bounded by polar curves. We also cover several examples on how to find the area bounded by a polar curve. 00:00 - Introduction 00:18 - Area bounded by a polar curve 02:54 - Example 1 06:29 - Example 2 12:07 - Example 3 19:37 - Example 4 26:04 - Example 5
Calculus II: Tangents to Polar curves
มุมมอง 2.5K3 ปีที่แล้ว
Calculus II: Tangents to Polar curves
Calculus II: Polar coordinates
มุมมอง 2.5K3 ปีที่แล้ว
Calculus II: Polar coordinates
Calculus II: Integration over parametric curves
มุมมอง 2.2K3 ปีที่แล้ว
Calculus II: Integration over parametric curves
Calculus II: Binomial series
มุมมอง 2.1K3 ปีที่แล้ว
Calculus II: Binomial series
Calculus II: Tangents to parametric curves
มุมมอง 2.9K3 ปีที่แล้ว
Calculus II: Tangents to parametric curves
Calculus II: Parametric curves
มุมมอง 2.6K3 ปีที่แล้ว
Calculus II: Parametric curves
Linear Algebra: Linear Independence
มุมมอง 1.3K3 ปีที่แล้ว
Linear Algebra: Linear Independence
Linear Algebra: Subspaces
มุมมอง 1.5K3 ปีที่แล้ว
Linear Algebra: Subspaces
Linear Algebra: Vector spaces
มุมมอง 1.9K3 ปีที่แล้ว
Linear Algebra: Vector spaces
Linear Algebra: Cramer's rule
มุมมอง 7793 ปีที่แล้ว
Linear Algebra: Cramer's rule
Linear Algebra: Geometry with determinants
มุมมอง 9833 ปีที่แล้ว
Linear Algebra: Geometry with determinants
Calculus II: Taylor and Maclaurin series
มุมมอง 3.6K3 ปีที่แล้ว
Calculus II: Taylor and Maclaurin series
Calculus II: Taylor's inequality
มุมมอง 4.6K3 ปีที่แล้ว
Calculus II: Taylor's inequality
Linear Algebra: Important matrices
มุมมอง 6133 ปีที่แล้ว
Linear Algebra: Important matrices
Linear Algebra: Determinants and orientated volume
มุมมอง 1.1K3 ปีที่แล้ว
Linear Algebra: Determinants and orientated volume

ความคิดเห็น

  • @FinnFinn-h8x
    @FinnFinn-h8x 6 วันที่ผ่านมา

    He never finished linear algebra 😢

  • @Dazzletoad
    @Dazzletoad 10 วันที่ผ่านมา

    I don't know if I commented before, but this video is terrible. Too much yapping on, and not very clear in parts. For example, why bring up the mystery of the formulae for simple shapes just to go straight on to say the FTOC shows how differentiation and manipulation are related? I would recommend scripting this. You obviously enjoy this, and it seems you have a good understanding, that's just wasted ig your video is messy - especially given all the other material on TH-cam. I appreciate the upload, however 👍🏻

  • @SanjiVinsmoke-u8y
    @SanjiVinsmoke-u8y 10 วันที่ผ่านมา

    i really want to thank you because you greatly helped my studies and if your seeing this THE VIDEOS YOU PROVIDE ARE SIMPLE AND A LOT HELPFUL than any modules and teachers I've ever met. Please continue uploading and you have got yourself a loyal subscriber. Thanks a lot

  • @raysontan1021
    @raysontan1021 12 วันที่ผ่านมา

    In example 1, isn't (-2x^3 / 3) + (6x / 3) = (-2x^3 + 6x) / 3 ?

  • @AdiahLangilao
    @AdiahLangilao 23 วันที่ผ่านมา

    calculus for grade 7 plsss🙏

  • @AdiahLangilao
    @AdiahLangilao 23 วันที่ผ่านมา

    whaf if his written mine.😢

  • @YohanesZakariasRadjaHedo-mr9rj
    @YohanesZakariasRadjaHedo-mr9rj หลายเดือนก่อน

    Sudah....

  • @abramsirois7777
    @abramsirois7777 หลายเดือนก่อน

    Correct me if I'm wrong but wouldn't (-1) (-7) = 7 and NOT -7?

    • @user-is8qm8td4w
      @user-is8qm8td4w 21 วันที่ผ่านมา

      (-1)(-7) divide by (-4) = - (7/4) or -7/4

  • @abelgongora5856
    @abelgongora5856 หลายเดือนก่อน

    Trolling hats!! Lol😂

  • @AltAcc-cp6eu
    @AltAcc-cp6eu หลายเดือนก่อน

    Dont tell anyone im learning this in g7 >:D

  • @republicofvegans712
    @republicofvegans712 หลายเดือนก่อน

    Which lecture is about linear Transformations? Having a hard time finding it but other than that great vid!

  • @user-tw8tj3lw3i
    @user-tw8tj3lw3i หลายเดือนก่อน

    in the first example, you got n >-9 but then you summed the first 10 terms, why is that? why not sum up the first 9 terms since n is greater than and equal to 9? Thanks.

  • @user-kg9ls1vw3d
    @user-kg9ls1vw3d หลายเดือนก่อน

    Thank you so much for the videos, do you have plans to make a Math 209 playlist?

  • @mash2068
    @mash2068 หลายเดือนก่อน

    I just fell in love with math. Am gonna go through all your videos, man.

  • @b.994
    @b.994 หลายเดือนก่อน

    This serie is awesome. Thank you!

  • @KIIZAAloysiusAkiiki
    @KIIZAAloysiusAkiiki 2 หลายเดือนก่อน

    You are nice lecturer

  • @mixerbd791
    @mixerbd791 2 หลายเดือนก่อน

    Nice explanation and presentation. Thanks Sir. Love feom Bangladesh.

  • @williamcripfoe6754
    @williamcripfoe6754 2 หลายเดือนก่อน

    How did you get -11 pi/4 for example 7 wouldnt it be -14pi/4?

  • @jonathanE-do6ss
    @jonathanE-do6ss 2 หลายเดือนก่อน

    What is the difference between the span of d and U in example 8?Is the span of d not equal to U? Don't they both share the same line through the origin? If this is the case, why did you have to say the span of d belongs to U if we already know U has the same span as the span of d. I am confused because @41:28 , you state that the span of vector d belongs to U.

  • @shaikhtariq-8495
    @shaikhtariq-8495 2 หลายเดือนก่อน

    Excellent.

  • @user-yz5ei1ss1e
    @user-yz5ei1ss1e 2 หลายเดือนก่อน

    wigshaneza turakwemera

  • @user-yz5ei1ss1e
    @user-yz5ei1ss1e 2 หลายเดือนก่อน

    kabisa umuntu agerageza kubyumva basi

  • @djdanzo206
    @djdanzo206 3 หลายเดือนก่อน

    this needs more views,thank you so much💯🙏

  • @dimitrivahlas8505
    @dimitrivahlas8505 3 หลายเดือนก่อน

    For question 6, I notice you go back and forth between which side you put your inverses when cancelling. Does it matter or can i just put it on any side?

  • @gysl3790
    @gysl3790 3 หลายเดือนก่อน

    link da goat

  • @JamieVisser-xt7lc
    @JamieVisser-xt7lc 3 หลายเดือนก่อน

    Thank you for the videos!

  • @xxslayerxxa5884
    @xxslayerxxa5884 3 หลายเดือนก่อน

    Appreciate the videos man

  • @user-iq3dj3dy7u
    @user-iq3dj3dy7u 3 หลายเดือนก่อน

    how do we identify if we are going in the positive or negative direction ? eg in example 1

  • @user-iq3dj3dy7u
    @user-iq3dj3dy7u 3 หลายเดือนก่อน

    at 24:00 could u explain why f^n(2)= (-1)^(n+1) *and everything else* because when we previously discussed a general formula before putting a value of x(=2) we had (-1)^n term to account for alternating signs in terms

    • @user-iq3dj3dy7u
      @user-iq3dj3dy7u 3 หลายเดือนก่อน

      and can we use (-1)^(n-1) unstead inside the sigma notation part

  • @aminalnemr2861
    @aminalnemr2861 3 หลายเดือนก่อน

    For example 3 wouldn’t you have to pick a constant that is in between the function 2^x and the function x^3? How do you know that 0 is in between them?

    • @MathforThought
      @MathforThought 3 หลายเดือนก่อน

      No. It can be any constant actually.

  • @aikarpao2016
    @aikarpao2016 3 หลายเดือนก่อน

    I am about to go into Economics field which needs solid Maths skills especially calculus and linear algebra. I start learning from now on. Thank you so much for your time and effort.

  • @fatass6203
    @fatass6203 3 หลายเดือนก่อน

    i have a re-exam in calculus, can anyone tell me if its worth the time to go through the playlist?

    • @MathforThought
      @MathforThought 3 หลายเดือนก่อน

      You could just watch the Final exam and midterm exam review.

  • @michaeldevito5035
    @michaeldevito5035 3 หลายเดือนก่อน

    ROBUX

  • @michaeldevito5035
    @michaeldevito5035 3 หลายเดือนก่อน

    cool video though

  • @michaeldevito5035
    @michaeldevito5035 3 หลายเดือนก่อน

    shh bye bye/LOL I am just being stupid don't take this offensive please

  • @michaeldevito5035
    @michaeldevito5035 3 หลายเดือนก่อน

    wow🤫🤔mewing streak 1000

  • @michaeldevito5035
    @michaeldevito5035 3 หลายเดือนก่อน

    this was 3 years ago

  • @republicofvegans712
    @republicofvegans712 4 หลายเดือนก่อน

    Is there a vid on linear transformations?

  • @user-iq3dj3dy7u
    @user-iq3dj3dy7u 4 หลายเดือนก่อน

    could u tell me how the conclusion of b(n+1) < bn was reached in example 3

    • @MathforThought
      @MathforThought 4 หลายเดือนก่อน

      You can just look at it and see if it's decreasing.

  • @Math_Academy2482
    @Math_Academy2482 4 หลายเดือนก่อน

    can you by any chance upload this text/pdf you written please ?

    • @MathforThought
      @MathforThought 4 หลายเดือนก่อน

      I am not allowed to do this sorry.

  • @user-iq3dj3dy7u
    @user-iq3dj3dy7u 4 หลายเดือนก่อน

    for example 4 could u tell me how u got the formula 3/2 (1-1/3^n)

  • @1KosovoJeSrbija1
    @1KosovoJeSrbija1 4 หลายเดือนก่อน

    Could you perhaps write your Ks and Xs differently?

  • @PeterParker-wy5zd
    @PeterParker-wy5zd 4 หลายเดือนก่อน

    Just to confirm and make sure I'm getting this right: in general, when we set out to prove that something given with some properties is or is not a vector space, we should start with the property given, then try to get the same result using the properties of a vector space, and whether we are successful or not determines whether what is given is a vector space? Another thing to confirm because I'm still having trouble wrapping my head around the concept of a vector space: a vector space is to vectors what R is to numbers. It is the "space" within which all vectors can occur? Just like R^2 is the space within which all tuples (x,y) can occur. Thanks again and all the best!

    • @MathforThought
      @MathforThought 4 หลายเดือนก่อน

      Yeah pretty much.

    • @PeterParker-wy5zd
      @PeterParker-wy5zd 4 หลายเดือนก่อน

      @@MathforThought thank you!

  • @PeterParker-wy5zd
    @PeterParker-wy5zd 4 หลายเดือนก่อน

    In example, just before 40:00, you write |x+1| < 1, but the radius of convergence is in the form |x-a| < 1. Is it okay to still take the radius of convergence to be one when the sign is not negative? (Btw, thank you so much for these! They're saving my life :)

    • @MathforThought
      @MathforThought 4 หลายเดือนก่อน

      Yes it should be fine.

    • @PeterParker-wy5zd
      @PeterParker-wy5zd 4 หลายเดือนก่อน

      @@MathforThought Thank you!

  • @garnikmikayelian4271
    @garnikmikayelian4271 4 หลายเดือนก่อน

    Thank you so much, everything was very clear. You really helped me ✍️✍️

  • @syandaofficial
    @syandaofficial 4 หลายเดือนก่อน

    Why don’t you explain of where you got the cases from😢

    • @MathforThought
      @MathforThought 4 หลายเดือนก่อน

      I did examples in my other videos.

  • @syandaofficial
    @syandaofficial 4 หลายเดือนก่อน

    Made it easier

  • @syandaofficial
    @syandaofficial 4 หลายเดือนก่อน

    You good at this 👍🏽

  • @-G-GaziAbrerZakir
    @-G-GaziAbrerZakir 5 หลายเดือนก่อน

    Thank you so much for this video, you made it so easy to understand