When matrices are not invertible they are said to be 'singular.' Invertible matrices are 'nonsingular.' There are papers that define "prime matrices" but that goes a bit beyond our studies in this course. We will encounter other types of factorizations as we go through the semester. Basically the type of factoring that you do to a matrix depends on your goals with the specific topic.
I love your video lecture Professor Cartie, Do you have video lecture from section 2.6 to the end of Linear Algebra course? if you have thos video lecture Would you send me the link to the comment? Thank you
Great video. Thanks for taking the time to explain this.
Glad it was helpful!
It is good to know how complex matrix can be broken down into simpler components which then unveil the hidden patterns
I love learning about basic math procedures but applied to matrices!
I saw this video was placed in the same section as the ones done last week. Were we supposed to view this last week or this week for our homework?
Where’s 2.4?
Good question - on my campus that section is optional, and I choose not to cover it. So I don't have a video for it - sorry!
Would it make sense to call matrices that can't be factored down "prime" matrices, or is there a different term for it.
When matrices are not invertible they are said to be 'singular.' Invertible matrices are 'nonsingular.' There are papers that define "prime matrices" but that goes a bit beyond our studies in this course. We will encounter other types of factorizations as we go through the semester. Basically the type of factoring that you do to a matrix depends on your goals with the specific topic.
Are the other factorization methods (QR, Spectral factorization) going to be on the test?
No, just LU for now, but we will cover the others as we go through the course.
I love your video lecture Professor Cartie, Do you have video lecture from section 2.6 to the end of Linear Algebra course? if you have thos video lecture Would you send me the link to the comment? Thank you
here is the link to the playlist - th-cam.com/play/PLU2QPsBQN_q3et7QBrDD958bB_NRFzv4E.html&si=3Nzo2Q_1JZAjJ17x