List questions from matrix-rank

Published on 23 Apr 2020 - 7:49

1.2k

Views

Surjective and full rank

Published on 28 Mar 2026 - 10:35

59

Views

low rank matrix

Published on 27 Apr 2020 - 12:40

51

Views

Prove $ \dim L(\{v_1+w,v_2+w,\dots,v_n+w\})\geq n-1,w\in V$

Published on 27 Apr 2020 - 21:28

343

Views

Suppose that for two $n \times n$ matrices $A,B$ we have $AB = A + B$. Prove that $\text{rank}(A^2) + \text{rank} (B^2) \leq 2 \text{rank} (AB).$

Published on 28 Apr 2020 - 0:54

1.1k

Views

If all minors are $0$, the rank is at most $n-2$

Published on 28 Apr 2020 - 20:09

248

Views

rank of block matrix whose diagonal blocks are invertible

Published on 26 Mar 2026 - 11:00

145

Views

If all minors are $0$, then rank is at most $n-2$

Published on 29 Apr 2020 - 8:44

75

Views

If $A,B,C\in M_n(\mathbb{R})$ and $A+B+C=0$, then what are the possible values of the triple $\big(\mbox{rank}(A),\mbox{rank}(B),\mbox{rank}(C)\big)$?

Published on 30 Apr 2020 - 20:22

157

Views

'For transformation matrices, the rank of matrix tells you the dimensions of the output.' What does this statement mean?

Published on 01 May 2020 - 10:56

179

Views

A question from TIFR GS related to rank of a matrix.

Published on 01 May 2020 - 11:13

159

Views

What will the rank be, if a matrix multiply its transpose?

Published on 28 Mar 2026 - 21:57

163

Views

Nonlinear least squares uniqueness

Published on 26 Mar 2026 - 10:45

40

Views

Find $m$ so that $\mbox{rank} \left( A^{-1} \right) = 3$

Published on 06 May 2020 - 4:02

1.1k

Views

Why doesn't Gram-Schmidt work for all matrices?

Published on 25 Mar 2026 - 9:22

List Question

Rank-Nullity Theorem with Null Space and Column Space

Surjective and full rank

low rank matrix

Prove $ \dim L(\{v_1+w,v_2+w,\dots,v_n+w\})\geq n-1,w\in V$

Suppose that for two $n \times n$ matrices $A,B$ we have $AB = A + B$. Prove that $\text{rank}(A^2) + \text{rank} (B^2) \leq 2 \text{rank} (AB).$

If all minors are $0$, the rank is at most $n-2$

rank of block matrix whose diagonal blocks are invertible

If all minors are $0$, then rank is at most $n-2$

If $A,B,C\in M_n(\mathbb{R})$ and $A+B+C=0$, then what are the possible values of the triple $\big(\mbox{rank}(A),\mbox{rank}(B),\mbox{rank}(C)\big)$?

'For transformation matrices, the rank of matrix tells you the dimensions of the output.' What does this statement mean?

A question from TIFR GS related to rank of a matrix.

What will the rank be, if a matrix multiply its transpose?

Nonlinear least squares uniqueness

Find $m$ so that $\mbox{rank} \left( A^{-1} \right) = 3$

Why doesn't Gram-Schmidt work for all matrices?

Trending Questions

Popular # Hahtags

Popular Questions