List questions from matrix-equations

Published on 09 Apr 2026 - 23:38

75

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Clarifying the notion of basic/free variables in a system of equations

Published on 13 Apr 2026 - 10:44

216

Views

Push-through rule for square root of specific projection matrix

Published on 12 Apr 2026 - 11:51

209

Views

When are we free in setting the free/basic variables in a linear system of equations

Published on 14 Apr 2026 - 9:45

339

Views

I found the solution of Ax=b in the least squares but I don't understand how to use it

Published on 13 Apr 2026 - 6:13

176

Views

Implicitly Differentiating a System of Matrix Equations

Published on 11 Apr 2026 - 13:13

58

Views

Find $ax^2+3x+b$ that goes through the given points using the least squares

Published on 14 Apr 2026 - 17:01

69

Views

$A \in \mathbb{R}^{2 \times 2}$, $A(I_2-A)=I_2 \Rightarrow A^2-I_2$ is invertible

Published on 14 Apr 2026 - 13:22

23

Views

Transforming an operation involving the components of matrixes, ${C}_{i j}=B_{i k} B_{j l} A_{k l}$, into a matrix multiplication

Published on 12 Apr 2026 - 22:24

115

Views

Show that $\{\alpha_1,\alpha_2,\alpha_3\}$ is a basis for V

Published on 17 Apr 2026 - 11:05

100

Views

calculating norm for a vector with complex element on it

Published on 11 Apr 2026 - 18:09

1k

Views

Can two eigenvectors share one eigenvalue?

Published on 11 Apr 2026 - 15:49

89

Views

Find the least square solution x

Published on 15 Apr 2026 - 23:30

56

Views

Fewest permutation matrices to make every variable free

Published on 11 Apr 2026 - 12:03

19

Views

number of matrices with a single nullspace point

Published on 16 Apr 2026 - 0:13

List Question

How many unique patterns can a $4\times 4$ grid make?

Clarifying the notion of basic/free variables in a system of equations

Push-through rule for square root of specific projection matrix

When are we free in setting the free/basic variables in a linear system of equations

I found the solution of Ax=b in the least squares but I don't understand how to use it

Implicitly Differentiating a System of Matrix Equations

Find $ax^2+3x+b$ that goes through the given points using the least squares

$A \in \mathbb{R}^{2 \times 2}$, $A(I_2-A)=I_2 \Rightarrow A^2-I_2$ is invertible

Transforming an operation involving the components of matrixes, ${C}_{i j}=B_{i k} B_{j l} A_{k l}$, into a matrix multiplication

Show that $\{\alpha_1,\alpha_2,\alpha_3\}$ is a basis for V

calculating norm for a vector with complex element on it

Can two eigenvectors share one eigenvalue?

Find the least square solution x

Fewest permutation matrices to make every variable free

number of matrices with a single nullspace point

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