Question

Without using the Rule of Sarrus, prove that:

score 224 · Answer 1 · 2026-04-14 23:12:34

224

Views

Without using the Rule of Sarrus, prove that:

Published on 14 Apr 2026 - 23:12

score 80 · Answer 2 · 2026-04-14 17:58:29

80

Views

When does $\Vert ABC\Vert\le \Vert B\Vert \Vert AC\Vert$?

Published on 14 Apr 2026 - 17:58

score 96 · Answer 3 · 2026-04-10 15:10:42

96

Views

Proof for definition of the direct sum of subspaces

Published on 10 Apr 2026 - 15:10

score 98 · Answer 4 · 2026-04-13 19:25:56

98

Views

What is the minimal Polynomial of matrix A of order $3\times3$ where $a_{11}=1$ and all other elements are zeroes?

Published on 13 Apr 2026 - 19:25

score 199 · Answer 5 · 2026-04-15 04:57:32

199

Views

How do I proof that the determinant of this matrix has the form $(z-1)^{n-1} (z+(n-1))$?

Published on 15 Apr 2026 - 4:57

score 69 · Answer 6 · 2026-04-15 17:18:54

69

Views

$W_1,...,W_n$ be any $1$-dimensional subspaces , is there a $2$-dimensional subspace $W$ with $W \cap (\cup_{i=1}^n W_i)=\{0\}$?

Published on 15 Apr 2026 - 17:18

score 74 · Answer 7 · 2026-04-17 13:10:05

74

Views

What i need to know to understand or learning linear algebra?

Published on 17 Apr 2026 - 13:10

score 419 · Answer 8 · 2026-04-14 00:33:29

419

Views

Uniqueness of trace as linearization of the rank

Published on 14 Apr 2026 - 0:33

score 138 · Answer 9 · 2026-04-17 00:44:27

138

Views

similarity between position frequency matrices

Published on 17 Apr 2026 - 0:44

score 93 · Answer 10 · 2026-04-17 15:03:53

93

Views

When is a $\Bbb Q$-homogeneous bijective function on a $\Bbb Q$-vector space $\Bbb Q$-linear?

Published on 17 Apr 2026 - 15:03

score 174 · Answer 11 · 2026-04-11 05:21:29

174

Views

Additive or homogeneous functions, and relation between injectivity and surjectivity

Published on 11 Apr 2026 - 5:21

score 110 · Answer 12 · 2026-03-25 06:22:13

110

Views

Why is finding the minimum of $\phi(x)={1\over2}x^TAx-x^Tb$ equivalent to finding the solution of $Ax=b$?

Published on 25 Mar 2026 - 6:22

score 2.5k · Answer 13 · 2026-04-23 02:48:27

Can Hadamard (schur) product $A \circ B$ be positive definite, if $A \succeq 0$ (positive semi-definite) and $B \succ 0$ (positive definite)?

score 338 · Answer 14 · 2026-04-14 11:51:06

338

Views

$T, S : V \to V$ linear transformations such that $S◦T = T◦S$. Prove that every eigenspace of $T$ is $S$-invariant.

Published on 14 Apr 2026 - 11:51

score 302 · Answer 15 · 2026-04-10 19:12:41

302

Views

Showing that a linear map with given idempotent like property splits into direct sum of subspaces.

Published on 10 Apr 2026 - 19:12

List Question

Without using the Rule of Sarrus, prove that:

When does $\Vert ABC\Vert\le \Vert B\Vert \Vert AC\Vert$?

Proof for definition of the direct sum of subspaces

What is the minimal Polynomial of matrix A of order $3\times3$ where $a_{11}=1$ and all other elements are zeroes?

How do I proof that the determinant of this matrix has the form $(z-1)^{n-1} (z+(n-1))$?

$W_1,...,W_n$ be any $1$-dimensional subspaces , is there a $2$-dimensional subspace $W$ with $W \cap (\cup_{i=1}^n W_i)=\{0\}$?

What i need to know to understand or learning linear algebra?

Uniqueness of trace as linearization of the rank

similarity between position frequency matrices

When is a $\Bbb Q$-homogeneous bijective function on a $\Bbb Q$-vector space $\Bbb Q$-linear?

Additive or homogeneous functions, and relation between injectivity and surjectivity

Why is finding the minimum of $\phi(x)={1\over2}x^TAx-x^Tb$ equivalent to finding the solution of $Ax=b$?

Can Hadamard (schur) product $A \circ B$ be positive definite, if $A \succeq 0$ (positive semi-definite) and $B \succ 0$ (positive definite)?

$T, S : V \to V$ linear transformations such that $S◦T = T◦S$. Prove that every eigenspace of $T$ is $S$-invariant.

Showing that a linear map with given idempotent like property splits into direct sum of subspaces.

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