List questions from matrix-equations

Published on 09 Apr 2026 - 18:48

64

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How can I demonstrate this result?

Published on 10 Apr 2026 - 22:16

85

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Determine the solution to a system, given only it's LU decomposition?

Published on 15 Apr 2026 - 10:30

63

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Induction proof that $a^n=na-\left(n-1\right)I$

Published on 14 Apr 2026 - 4:32

217

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If $[A,B]=B$. Calculate $e^{iA}Be^{-iA}$

Published on 15 Apr 2026 - 3:55

373

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Determination of the state-transition matrix

Published on 12 Apr 2026 - 10:18

30

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Show the continuity of $g(A,B) = A^{-1} B$.

Published on 13 Apr 2026 - 22:53

46

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Deriving the essential matrix using the scalar triple product

Published on 09 Apr 2026 - 15:14

60

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$S$ is a vector subspace of vector space $V$? (matrix in complex)

Published on 16 Apr 2026 - 0:59

333

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Triangle T has vertices (0, 2), (0, 7) and (k, 1). Matrix is used to transform T to Tʹ. If the area of Tʹ is 165, determine the value of k.

Published on 15 Apr 2026 - 10:28

27

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When solving a system of matrix equatoins- why does one vector of the solution represent the homogenous vector?

Published on 12 Apr 2026 - 4:48

91

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OLS by matrixform

Published on 13 Apr 2026 - 7:04

68

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Deriving solution to matrix equation $AV + VA - tAVA = I$

Published on 09 Apr 2026 - 3:04

49

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Find a subset of $S \subseteq N(T)$ that is a basis of the Null of $T$.

Published on 15 Apr 2026 - 12:07

72

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How to express a matrix as a vector multiplied by its transpose which the rank of the matrix is strictly greater than 1

Published on 14 Apr 2026 - 8:32

List Question

Positive definite solutions to a matrix equation

How can I demonstrate this result?

Determine the solution to a system, given only it's LU decomposition?

Induction proof that $a^n=na-\left(n-1\right)I$

If $[A,B]=B$. Calculate $e^{iA}Be^{-iA}$

Determination of the state-transition matrix

Show the continuity of $g(A,B) = A^{-1} B$.

Deriving the essential matrix using the scalar triple product

$S$ is a vector subspace of vector space $V$? (matrix in complex)

Triangle T has vertices (0, 2), (0, 7) and (k, 1). Matrix is used to transform T to Tʹ. If the area of Tʹ is 165, determine the value of k.

When solving a system of matrix equatoins- why does one vector of the solution represent the homogenous vector?

OLS by matrixform

Deriving solution to matrix equation $AV + VA - tAVA = I$

Find a subset of $S \subseteq N(T)$ that is a basis of the Null of $T$.

How to express a matrix as a vector multiplied by its transpose which the rank of the matrix is strictly greater than 1

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