List questions from matrix-equations

Published on 25 Mar 2026 - 7:15

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Given a $3\times3$ real matrix $A$ with eigenvalues $0,1,2$, find real constants $a,b,c$ such that $aI+bA+cA^2$ has eigenvalues 0,1,3

Published on 25 Mar 2026 - 6:12

191

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matrix inequality upper bound $\|A(B+C) +D(B-C)\|/2$?

Published on 27 Aug 2018 - 14:13

977

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Find solution space of $\ Ax = b $

Published on 27 Aug 2018 - 17:17

58

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Proof regarding the dimension of a vector space

Published on 28 Aug 2018 - 23:37

1.6k

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Row Echelon Form or Reduced Row Echelon Form for Proving Equation Consistency or Inconsistency?

Published on 28 Aug 2018 - 23:46

98

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If $t\mapsto \rho(t)=e^{(1-t)A}\cdot e^{tB},$ then $e^{A}-e^{B}=\int^{t}_{0}e^{(1-t)A}(A-B)e^{tB}dt$

Published on 26 Mar 2026 - 3:00

1.8k

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Is it possible to use non square matrices to solve systems of simultaneous linear equations?

Published on 29 Aug 2018 - 9:30

43

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Question on matrix algebra

Published on 30 Aug 2018 - 1:27

711

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Circle to sphere transformation

Published on 30 Aug 2018 - 3:33

37

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Some questions about the element-wise function of matrices

Published on 25 Mar 2026 - 19:01

67

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Quadratic Matrix programming

Published on 25 Mar 2026 - 12:45

91

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Least squares equations and Matrix Algebra

Published on 30 Aug 2018 - 19:15

108

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For real square matrices $A_0,A_1$ with $(A^{T}_0+A_0)+(A^{T}_{1}+A_1)\leq{-\gamma{I}}$, is it possible to prove the following inequality?

Published on 25 Mar 2026 - 19:07

141

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Why is $\left(I - M M^T \right)^{-1} M = M\left(I - M^T M \right)^{-1}$

Published on 31 Aug 2018 - 8:21

List Question

Convergence of a fixed point iteration with nonlinearity

Given a $3\times3$ real matrix $A$ with eigenvalues $0,1,2$, find real constants $a,b,c$ such that $aI+bA+cA^2$ has eigenvalues 0,1,3

matrix inequality upper bound $\|A(B+C) +D(B-C)\|/2$?

Find solution space of $\ Ax = b $

Proof regarding the dimension of a vector space

Row Echelon Form or Reduced Row Echelon Form for Proving Equation Consistency or Inconsistency?

If $t\mapsto \rho(t)=e^{(1-t)A}\cdot e^{tB},$ then $e^{A}-e^{B}=\int^{t}_{0}e^{(1-t)A}(A-B)e^{tB}dt$

Is it possible to use non square matrices to solve systems of simultaneous linear equations?

Question on matrix algebra

Circle to sphere transformation

Some questions about the element-wise function of matrices

Quadratic Matrix programming

Least squares equations and Matrix Algebra

For real square matrices $A_0,A_1$ with $(A^{T}_0+A_0)+(A^{T}_{1}+A_1)\leq{-\gamma{I}}$, is it possible to prove the following inequality?

Why is $\left(I - M M^T \right)^{-1} M = M\left(I - M^T M \right)^{-1}$

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