Question

Intersection of subspaces: $U_1 = Sp\{x^3+2x^2+3x+6, 4x^3-x^2+3x+6, 5x^3+x^2+6x+12\}$, $U_2 = Sp\{x^3-x^2+x+1,2x^3-x^2+4x+5\}.$

score 66 · Answer 1 · 2026-03-25 19:07:14

66

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Intersection of subspaces: $U_1 = Sp\{x^3+2x^2+3x+6, 4x^3-x^2+3x+6, 5x^3+x^2+6x+12\}$, $U_2 = Sp\{x^3-x^2+x+1,2x^3-x^2+4x+5\}.$

Published on 25 Mar 2026 - 19:07

score 623 · Answer 2 · 2026-03-25 22:30:50

623

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What can be said about the rank of a nilpotent matrix?

Published on 25 Mar 2026 - 22:30

score 108 · Answer 3 · 2026-03-26 23:38:17

108

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Find the rank of the matrix $M$

Published on 26 Mar 2026 - 23:38

score 121 · Answer 4 · 2020-01-01 22:25:16

121

Views

$\mathrm{rank} (AB)\leq \min\{\mathrm{rank}(A),\mathrm{rank}(B)\}$

Published on 01 Jan 2020 - 22:25

score 89 · Answer 5 · 2026-03-26 20:44:22

89

Views

Optimal low-rank approximation of a matrix for given basis

Published on 26 Mar 2026 - 20:44

score 63 · Answer 6 · 2020-01-07 15:55:11

63

Views

Rank of Sum of 2 Special Matrices

Published on 07 Jan 2020 - 15:55

score 141 · Answer 7 · 2020-01-07 17:07:53

141

Views

proof that rank$(A+B+AB) \le $rank$(A) + $rank$(B)$ when $A,B$ are square matrices

Published on 07 Jan 2020 - 17:07

score 415 · Answer 8 · 2020-01-09 07:27:27

415

Views

Proving that the ranks of two matrices are equal

Published on 09 Jan 2020 - 7:27

score 117 · Answer 9 · 2020-01-09 07:45:18

117

Views

is this set of vectors linearly independent ? How are vectors linearly independent vs. matrix linearly independent?

Published on 09 Jan 2020 - 7:45

score 1.7k · Answer 10 · 2020-01-09 08:57:00

1.7k

Views

When we are doing the Gaussian Elimination, Can we just interchange the rows?

Published on 09 Jan 2020 - 8:57

score 26 · Answer 11 · 2020-01-10 20:25:41

26

Views

Rank requirement to compute product $\mathbf{A'Bc}$ if $\mathbf{Ac}$ is known

Published on 10 Jan 2020 - 20:25

score 200 · Answer 12 · 2020-01-11 16:32:54

200

Views

Determinant of Vandermonde matrix with deleted rows

Published on 11 Jan 2020 - 16:32

score 742 · Answer 13 · 2020-01-16 08:27:00

742

Views

if $T : R^n \rightarrow R^m$ onto then $rank A = m$

Published on 16 Jan 2020 - 8:27

score 111 · Answer 14 · 2020-01-16 19:52:11

111

Views

Correlation between rank and determinant

Published on 16 Jan 2020 - 19:52

score 393 · Answer 15 · 2020-01-18 01:54:14

393

Views

Show that if $\operatorname{Rank}T^2=\operatorname{Rank}T$, then $\operatorname{Rank}T^k=\operatorname{Rank}T$ for all $k\geq1$.

Published on 18 Jan 2020 - 1:54

List Question

Intersection of subspaces: $U_1 = Sp\{x^3+2x^2+3x+6, 4x^3-x^2+3x+6, 5x^3+x^2+6x+12\}$, $U_2 = Sp\{x^3-x^2+x+1,2x^3-x^2+4x+5\}.$

What can be said about the rank of a nilpotent matrix?

Find the rank of the matrix $M$

$\mathrm{rank} (AB)\leq \min\{\mathrm{rank}(A),\mathrm{rank}(B)\}$

Optimal low-rank approximation of a matrix for given basis

Rank of Sum of 2 Special Matrices

proof that rank$(A+B+AB) \le $rank$(A) + $rank$(B)$ when $A,B$ are square matrices

Proving that the ranks of two matrices are equal

is this set of vectors linearly independent ? How are vectors linearly independent vs. matrix linearly independent?

When we are doing the Gaussian Elimination, Can we just interchange the rows?

Rank requirement to compute product $\mathbf{A'Bc}$ if $\mathbf{Ac}$ is known

Determinant of Vandermonde matrix with deleted rows

if $T : R^n \rightarrow R^m$ onto then $rank A = m$

Correlation between rank and determinant

Show that if $\operatorname{Rank}T^2=\operatorname{Rank}T$, then $\operatorname{Rank}T^k=\operatorname{Rank}T$ for all $k\geq1$.

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