59. Reducing Quadratic Form to Canonical Form | Complete Concept

[@Manali8869]

Really sir , ur lecture is very very very helpful for us🙏🏼
Thanku so much sir ji🙏🏼

[@BabluGupta-yz3hp]

Reduce the set of equations x ^ 2 * yz = x * y ^ 2 * z ^ 3 = x ^ 3 * y ^ 2 * z = e5. (a) Reduce the set of equations x ^ 2 * yz = x * y ^ 2 * z ^ 3 = x ^ 3 * y ^ 2 * z = e into a system of linear equations and hence, solve it.
(9)
(b) Find the linear transformation T / (\mathbb{R} ^ 3) * (\mathbb{R}) -> \mathbb{R} ^ 3 * (\mathbb{R}) determined by the matrix [[1, 2, 1], [0, 1, 1], [- 1, 3, 4]] * ir the standard basis. Also, evaluate T(- 2, 2, 3) and T(1, 0, - 2) . (6)
6.
(a) For the linear transformation T / (\mathbb{R} ^ 2) * (\mathbb{R}) -> \mathbb{R} ^ 3 * (\mathbb{R}) defined by T(x, y) = (x + y, x - y, y) find the basis and dimensions of
(i) its range space;
(ii) its null space. Also verify Rank-Nullity Theorem.
(9)
(b) Verify Cayley Hamilton theorem for the matrix A = [[3, 1, - 1], [1, 3, 1], [- 1, 1, 3]] and hence find A ^ - 1
(6)
7. Find an orthonormal basis of the inner product space \mathbb{R} ^ 3 * (\mathbb{R}) with the standard inner product, given the basis \{(1, 0, 1), (0, 1, 1), (1, 3, 3)\} using Gram-Schmidt process. Also, find the coefficients of the vector (1, 1, 2) relative to the orthonormal basis.
(15)
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[@tomoe.kawai-jA7]

sir make a video on reducing to canonical form using diagonalisation method

[@vitthaljawalkar3733]

Ya sir please make video on canonical form

[@maheshprajapath8609]

Sir, plz make videos on solid geomantary and real analysis plzz, plz

[@ravindrakanchu7504]

tq u very much love u sirr🥰🥰

[@manojkumardandapat2037]

Nice Video Sir

[@gitashreehazarika4152]

Thank u sir ji

[@pushkarRAJ-ix5fy]

Mst padhate hai sir

[@kamendrasinghdhruw9626]

sir please maths ka writing tips dijiye, jis se marks na kte. please

[@lathapugal5286]

hai sir
i want one help

[@mounikamouni8445]

32 vedio ???

[@trendies_official]

thanks bro

[@nishantgupta635]

Your voice is slow