List questions from matrix-rank

Published on 15 Mar 2019 - 20:02

25

Views

Matrix $C \in M_n(\mathbb{R})$ $\lambda_1=\lambda_2=0$ rank

Published on 17 Mar 2019 - 12:17

144

Views

How to prove the following rank equality?

Published on 17 Mar 2019 - 12:42

171

Views

Special Block Matrix

Published on 26 Mar 2026 - 13:42

279

Views

Rank of a Complex matrix in terms of its real and imaginary parts

Published on 17 Mar 2019 - 20:36

67

Views

Rewrite a condition on a $3\times3$ matrix

Published on 21 Mar 2019 - 14:55

440

Views

$Ker(A)=\{0\} \Leftrightarrow rank(A)=n$

Published on 21 Mar 2019 - 19:04

79

Views

Show that any $M\in\mathcal{M}_n(\mathbb{C})$ of rank $r$ can be written as $M = A N_r B$

Published on 23 Mar 2019 - 18:05

377

Views

Number of zero eigenvalues equal to the number of dimensions "lost"?

Published on 27 Mar 2019 - 11:36

979

Views

When is $rk(A+B)=rk(A)+rk(B)$?

Published on 28 Mar 2019 - 7:35

46

Views

Given $\textbf{P} = \textbf{X}(\textbf{X}^{\prime}\textbf{X})^{-1}\textbf{X}^{\prime}$, prove that $\mathcal{C}(\textbf{P}) = \mathcal{C}(\textbf{X})$

Published on 26 Mar 2026 - 12:06

37

Views

Calculating the Kernel, dimension of linear equations, real numbers and galois field

Published on 01 Apr 2019 - 19:07

4.9k

Views

Prove that if a vector space has dimension n then any n + 1 of its vectors are linearly dependent. (Linear Algebra )

Published on 01 Apr 2019 - 19:40

117

Views

How to show that the given matrix has non-zero determinant

Published on 02 Apr 2019 - 5:41

1.9k

Views

Similar Matrices have the same rank

Published on 02 Apr 2019 - 8:33

List Question

$a_k = \mathrm{rank}(A^{k+1}) - \mathrm{rank}(A^k)$ is increasing

Matrix $C \in M_n(\mathbb{R})$ $\lambda_1=\lambda_2=0$ rank

How to prove the following rank equality?

Special Block Matrix

Rank of a Complex matrix in terms of its real and imaginary parts

Rewrite a condition on a $3\times3$ matrix

$Ker(A)=\{0\} \Leftrightarrow rank(A)=n$

Show that any $M\in\mathcal{M}_n(\mathbb{C})$ of rank $r$ can be written as $M = A N_r B$

Number of zero eigenvalues equal to the number of dimensions "lost"?

When is $rk(A+B)=rk(A)+rk(B)$?

Given $\textbf{P} = \textbf{X}(\textbf{X}^{\prime}\textbf{X})^{-1}\textbf{X}^{\prime}$, prove that $\mathcal{C}(\textbf{P}) = \mathcal{C}(\textbf{X})$

Calculating the Kernel, dimension of linear equations, real numbers and galois field

Prove that if a vector space has dimension n then any n + 1 of its vectors are linearly dependent. (Linear Algebra )

How to show that the given matrix has non-zero determinant

Similar Matrices have the same rank

Trending Questions

Popular # Hahtags

Popular Questions