List questions from diagonalization

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Suppose A is diagonalizable. Can this diagonalization necessarily be done by a matrix P in the special linear group?

Published on 09 Nov 2015 - 6:15

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Diagonalisation of a quadratic form.

Published on 01 Apr 2026 - 5:33

74

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Proof review: For $A$ a non-diagonizable matrix, there exists a polynomial of degree $n-1$ s.t. $[p(A)]^ 2 = 0$

Published on 10 Nov 2015 - 15:04

101

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Matrices of the form $A^k = A$

Published on 11 Nov 2015 - 14:06

1k

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Showing that Column Vectors Corresponding to Nonzero Eigenvectors form a basis for R(A)

Published on 12 Nov 2015 - 6:01

1.4k

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Gram Schmidt Process in Diagonalization

Published on 12 Nov 2015 - 13:41

231

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Quadratic form and spectral theorems

Published on 01 Apr 2026 - 5:33

443

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Diagnolization of a matrix such that $A=PDP^{-1}$

Published on 12 Nov 2015 - 23:36

25

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When to move lines in diagonalization?

Published on 15 Nov 2015 - 17:01

264

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Change of basis and diagonalisation clarification.

Published on 15 Nov 2015 - 19:23

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Why is A diagonalizable but not orthogonally diagonalizable?

Published on 16 Nov 2015 - 3:50

164

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Order of matrix multiplication

Published on 17 Nov 2015 - 3:07

658

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How to find variables s.t a matrix becomes diagonalizable?

Published on 17 Nov 2015 - 6:04

1.6k

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Showing that e$^A$ is nonsingular for any diagonalizable matrix A

Published on 18 Nov 2015 - 3:14

5k

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Prove the characteristic equation is of degree n

Published on 18 Nov 2015 - 3:59

List Question

Suppose A is diagonalizable. Can this diagonalization necessarily be done by a matrix P in the special linear group?

Diagonalisation of a quadratic form.

Proof review: For $A$ a non-diagonizable matrix, there exists a polynomial of degree $n-1$ s.t. $[p(A)]^ 2 = 0$

Matrices of the form $A^k = A$

Showing that Column Vectors Corresponding to Nonzero Eigenvectors form a basis for R(A)

Gram Schmidt Process in Diagonalization

Quadratic form and spectral theorems

Diagnolization of a matrix such that $A=PDP^{-1}$

When to move lines in diagonalization?

Change of basis and diagonalisation clarification.

Why is A diagonalizable but not orthogonally diagonalizable?

Order of matrix multiplication

How to find variables s.t a matrix becomes diagonalizable?

Showing that e$^A$ is nonsingular for any diagonalizable matrix A

Prove the characteristic equation is of degree n

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