List questions from matrices

Published on 15 Apr 2026 - 2:23

839

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Find real number $a$ such that matrix $A$ is NOT diagonalisable

Published on 15 Apr 2026 - 13:31

470

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Determinant of $I-aa^T+bb^T$

Published on 14 Apr 2026 - 17:34

464

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Matrix of orthogonal projection on $L=span(x_1,x_2,x_3)$ where $x_1^2+x_2^2+x_3^2=1$

Published on 16 Apr 2026 - 21:50

113

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Block diagonalization of symmetric Toeplitz matrix into m blocks

Published on 16 Apr 2026 - 21:51

1.3k

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If $A$ is positive definite prove that $(x^TAx)(x^TA^{-1}x) \geq 1$

Published on 16 Apr 2026 - 9:49

92

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Dot Product, matrix multiplication etc

Published on 15 Apr 2026 - 2:00

121

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Products of Positive Matrices

Published on 12 Apr 2026 - 14:11

80

Views

Is there any specific relationship among the determinant of leading principal submatrices of a tridiagonal matrix?

Published on 20 Apr 2026 - 10:59

484

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$A$ is diagonalizable, then exists $B^3=A$

Published on 14 Apr 2026 - 20:48

1.4k

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Maximize the trace of a matrix by permuting its rows

Published on 26 Mar 2026 - 2:45

3.5k

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Find the eigenvalues and eigenvectors of the matrix $A = uu^t$, where $u\in\mathbb{R}^n$

Published on 29 Apr 2026 - 12:42

391

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Derivative of quadratic form involving inverse of matrix-valued function of a scalar: $\frac{\partial}{\partial \gamma} y^T V^{-1}(\gamma) y$

Published on 29 Apr 2026 - 12:24

1k

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How to convert the system to echelon form?

Published on 08 Apr 2026 - 22:13

1.5k

Views

Why does $L$ have to be lower triangular in the LU factorization?

Published on 13 Apr 2026 - 14:08

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Similarity transform vs compound transform

Find real number $a$ such that matrix $A$ is NOT diagonalisable

Determinant of $I-aa^T+bb^T$

Matrix of orthogonal projection on $L=span(x_1,x_2,x_3)$ where $x_1^2+x_2^2+x_3^2=1$

Block diagonalization of symmetric Toeplitz matrix into m blocks

If $A$ is positive definite prove that $(x^TAx)(x^TA^{-1}x) \geq 1$

Dot Product, matrix multiplication etc

Products of Positive Matrices

Is there any specific relationship among the determinant of leading principal submatrices of a tridiagonal matrix?

$A$ is diagonalizable, then exists $B^3=A$

Maximize the trace of a matrix by permuting its rows

Find the eigenvalues and eigenvectors of the matrix $A = uu^t$, where $u\in\mathbb{R}^n$

Derivative of quadratic form involving inverse of matrix-valued function of a scalar: $\frac{\partial}{\partial \gamma} y^T V^{-1}(\gamma) y$

How to convert the system to echelon form?

Why does $L$ have to be lower triangular in the LU factorization?

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