List questions from matrices

Published on 25 Mar 2026 - 20:41

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Finding the basis for a subspace of all $3 \times 3$ matrices with zero trace

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Prove that, over a Euclidean domain $R, I + cE_{ij}$ generate $SL_n(R)$.

Published on 25 Mar 2026 - 9:28

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Derivative of $(Ax) \otimes y$ with respect to $x$

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How to solve matrix differential equation $\dot P (t) = P(t) S(t) P(t) - Q$?

Published on 25 Mar 2026 - 11:06

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Show that $A(A^TA)^{-1}A^T$ is symmetric positive definite

Published on 25 Mar 2026 - 1:17

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Why are these eigenvalic theorems true?

Published on 27 Mar 2026 - 21:44

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Let a and b be such that $-2A^2 + 4A -3I_2 = aA + bI_2$. To find $a + b$.

Published on 29 Mar 2026 - 5:50

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Help with Markov chain involving matrix diagonalisation

Published on 24 Mar 2026 - 21:59

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Complex symmetric matrices in a conjugacy class of SU(N)

Published on 25 Mar 2026 - 19:06

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Identify all vectors in $\mathbb{R}^2$ that are taken by $T$ to the same vector $T(a)$.

Published on 26 Mar 2026 - 19:00

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Determining whether solution exists or not.Under a given condition

Published on 30 Mar 2026 - 4:22

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Unitary transformation to a Toeplitz matrix

Published on 04 Apr 2026 - 1:07

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Matrix representation of a non-linear transformation

Published on 28 Mar 2026 - 6:48

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Find a basis for $W$ and identify $\dim(W)$.

Published on 26 Mar 2026 - 18:59

List Question

Proof verification on invertible matrices

Finding the basis for a subspace of all $3 \times 3$ matrices with zero trace

Prove that, over a Euclidean domain $R, I + cE_{ij}$ generate $SL_n(R)$.

Derivative of $(Ax) \otimes y$ with respect to $x$

How to solve matrix differential equation $\dot P (t) = P(t) S(t) P(t) - Q$?

Show that $A(A^TA)^{-1}A^T$ is symmetric positive definite

Why are these eigenvalic theorems true?

Let a and b be such that $-2A^2 + 4A -3I_2 = aA + bI_2$. To find $a + b$.

Help with Markov chain involving matrix diagonalisation

Complex symmetric matrices in a conjugacy class of SU(N)

Identify all vectors in $\mathbb{R}^2$ that are taken by $T$ to the same vector $T(a)$.

Determining whether solution exists or not.Under a given condition

Unitary transformation to a Toeplitz matrix

Matrix representation of a non-linear transformation

Find a basis for $W$ and identify $\dim(W)$.

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