List questions from matrix-equations

Published on 03 Nov 2019 - 0:06

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Discussion on when is the solution of the system $y' = Ay$ bounded

Published on 03 Nov 2019 - 11:26

107

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How do I find all solutions of $X^2 = I_2$ in $M_2(\mathbb{N})$?

Published on 03 Nov 2019 - 21:56

91

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Underdetermined Linear Systems: Minimum Norm?

Published on 04 Nov 2019 - 23:38

178

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Q: Matrix Representation of a Linear Operator?

Published on 05 Nov 2019 - 16:32

29

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What should I be denoting the "solution" to a homogeneous system?

Published on 05 Nov 2019 - 18:53

41

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How to get matrix $A$ knowing that $A^2 = O_2$?

Published on 10 Nov 2019 - 11:01

68

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Solving the matrix equation: $e^{\frac{1}{\ln(A)}}=A$

Published on 28 Mar 2026 - 5:00

213

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Let A,B be two $4\times4$ real commuting matrices and $\det(A^2-AB+B^2) = 0$ show that $\det(A+B) + 3\det(A-B) = 6\det(A) + 6\det(B)$

Published on 10 Nov 2019 - 17:55

1.1k

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Find two elementary matrices $E_1$ and $E_2$ such that $E_2E_1A=B$.

Published on 12 Nov 2019 - 1:48

117

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Order reduction for a matrix polynomial

Published on 12 Nov 2019 - 2:34

122

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Show that if a matrix $A$ of order $3×3$ satisfies $A^3=O$, then $I^3−A$ is invertible and its inverse is equal to $I^3+A+A^2.$

Published on 31 Mar 2026 - 14:29

72

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Some $2\times 2$ real matrix

Published on 12 Nov 2019 - 15:43

74

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Approximate Change of Basis Matrix/ Solution to Algebraic Riccatti System

Published on 30 Mar 2026 - 17:01

84

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Unique solution of AX=b

Published on 14 Nov 2019 - 22:41

List Question

Given matrix $A$, find the number of solutions of $X^2 = A$.

Discussion on when is the solution of the system $y' = Ay$ bounded

How do I find all solutions of $X^2 = I_2$ in $M_2(\mathbb{N})$?

Underdetermined Linear Systems: Minimum Norm?

Q: Matrix Representation of a Linear Operator?

What should I be denoting the "solution" to a homogeneous system?

How to get matrix $A$ knowing that $A^2 = O_2$?

Solving the matrix equation: $e^{\frac{1}{\ln(A)}}=A$

Let A,B be two $4\times4$ real commuting matrices and $\det(A^2-AB+B^2) = 0$ show that $\det(A+B) + 3\det(A-B) = 6\det(A) + 6\det(B)$

Find two elementary matrices $E_1$ and $E_2$ such that $E_2E_1A=B$.

Order reduction for a matrix polynomial

Show that if a matrix $A$ of order $3×3$ satisfies $A^3=O$, then $I^3−A$ is invertible and its inverse is equal to $I^3+A+A^2.$

Some $2\times 2$ real matrix

Approximate Change of Basis Matrix/ Solution to Algebraic Riccatti System

Unique solution of AX=b

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