List questions from diagonalization

Published on 25 Oct 2014 - 16:28

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$T$ is diagonalizable on finite dimensional v.s. $\implies$ $(T^2+T+I)(\vec v) \ne \vec 0 , \forall \vec v \ne \vec0$?

Published on 27 Oct 2014 - 13:05

922

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Show that if A is diagonalizable, then sin^2(A) + cos^2(A) = I. Does this identity also hold for nondiagonalizable matrices?

Published on 27 Oct 2014 - 13:39

48

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Progresive diagonalisation of a symmetric matrix

Published on 26 Mar 2026 - 11:16

39

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Diagonalizability of an endomorphism on polynoms

Published on 28 Oct 2014 - 10:57

134

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Is $g(A)$ diagonalizable?

Published on 29 Oct 2014 - 16:32

33

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Formula Needed by providing row column total rows and total column

Published on 30 Oct 2014 - 6:22

8k

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Diagonalizing Quadratic Forms. Linear Algebra

Published on 27 Mar 2026 - 14:57

589

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Linear Algebra Quadratic Form Diagonalization

Published on 27 Mar 2026 - 14:57

487

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Linear Algebra quadratic forms diagonalization

Published on 27 Mar 2026 - 14:57

1.5k

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Diagonalization with complex eigenvalues

Published on 10 Nov 2014 - 22:56

19.2k

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$AB=BA$ with same eigenvector matrix

Published on 14 Nov 2014 - 20:00

1.1k

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Diagonalisable matrices over different fields

Published on 16 Nov 2014 - 11:29

134

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If T is a linear operator, has dim V distinct eigen values, then T has a diagonal matrix with respect to some basis of V.

Published on 16 Nov 2014 - 13:12

387

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Diagonalizing zero matrix

Published on 16 Nov 2014 - 19:17

List Question

Diagonalizable and Invertible Functions

$T$ is diagonalizable on finite dimensional v.s. $\implies$ $(T^2+T+I)(\vec v) \ne \vec 0 , \forall \vec v \ne \vec0$?

Show that if A is diagonalizable, then sin^2(A) + cos^2(A) = I. Does this identity also hold for nondiagonalizable matrices?

Progresive diagonalisation of a symmetric matrix

Diagonalizability of an endomorphism on polynoms

Is $g(A)$ diagonalizable?

Formula Needed by providing row column total rows and total column

Diagonalizing Quadratic Forms. Linear Algebra

Linear Algebra Quadratic Form Diagonalization

Linear Algebra quadratic forms diagonalization

Diagonalization with complex eigenvalues

$AB=BA$ with same eigenvector matrix

Diagonalisable matrices over different fields

If T is a linear operator, has dim V distinct eigen values, then T has a diagonal matrix with respect to some basis of V.

Diagonalizing zero matrix

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