Question

$A$ is symmetric iff $A^T = A$

score 428 · Answer 1 · 2015-10-08 13:18:45

428

Views

$A$ is symmetric iff $A^T = A$

Published on 08 Oct 2015 - 13:18

score 44 · Answer 2 · 2026-03-21 15:38:22

44

Views

Meaning of a product in which two vectors are on both sides of a matrix

Published on 21 Mar 2026 - 15:38

score 63 · Answer 3 · 2026-03-24 13:26:17

63

Views

Show that x'X'y=y'Xx

Published on 24 Mar 2026 - 13:26

score 32 · Answer 4 · 2015-10-21 18:29:29

32

Views

Take any $n\times k$ matrix $C$ with $r\left(C\right)=k$. $M_{C}=I-C\left(C^{T}C\right)^{-1}C^{T}$

Published on 21 Oct 2015 - 18:29

score 3k · Answer 5 · 2015-11-01 07:29:39

3k

Views

Prove that $(i,j)$ entry in $A(X)^2$ is the number of length $2$ walk from vertex $i$ to vertex $j$

Published on 01 Nov 2015 - 7:29

score 11.7k · Answer 6 · 2026-02-28 03:26:44

11.7k

Views

what does it mean for the transpose of a matrix to be the negative of the matrix?

Published on 28 Feb 2026 - 3:26

score 94 · Answer 7 · 2015-11-03 20:35:45

94

Views

what does it mean when a Matrix is multiplied by it's transpose to give $3I$(identity)

Published on 03 Nov 2015 - 20:35

score 407 · Answer 8 · 2015-11-03 22:12:04

407

Views

What is the purpose of the transpose in the Multivariable Taylors theorem?

Published on 03 Nov 2015 - 22:12

score 880 · Answer 9 · 2015-11-07 10:48:11

880

Views

column vector times row vector - Transpose

Published on 07 Nov 2015 - 10:48

score 2.4k · Answer 10 · 2026-03-15 04:13:15

2.4k

Views

Let $A$ be an $8 \times 5$ matrix of rank 3, and let $b$ be a nonzero vector in $N(A^T)$. Show $Ax=b$ must be inconsistent.

Published on 15 Mar 2026 - 4:13

score 189 · Answer 11 · 2026-03-05 02:17:23

189

Views

Proving a property of transposition

Published on 05 Mar 2026 - 2:17

score 66 · Answer 12 · 2015-11-17 14:46:09

66

Views

Proving matrix transposition equals to zero

Published on 17 Nov 2015 - 14:46

score 2.2k · Answer 13 · 2015-11-21 14:03:07

2.2k

Views

Matrix / Vector bracket - Transposed

Published on 21 Nov 2015 - 14:03

score 77 · Answer 14 · 2015-11-22 16:45:14

77

Views

If a set of vectors is a basis and S is a span for some positive integer k<n, then S transpose = span (Vk+1...Vn)

Published on 22 Nov 2015 - 16:45

score 48 · Answer 15 · 2015-11-26 18:25:58

48

Views

Why is the resultant of this $0$? What is this property called?

Published on 26 Nov 2015 - 18:25

List Question

$A$ is symmetric iff $A^T = A$

Meaning of a product in which two vectors are on both sides of a matrix

Show that x'X'y=y'Xx

Take any $n\times k$ matrix $C$ with $r\left(C\right)=k$. $M_{C}=I-C\left(C^{T}C\right)^{-1}C^{T}$

Prove that $(i,j)$ entry in $A(X)^2$ is the number of length $2$ walk from vertex $i$ to vertex $j$

what does it mean for the transpose of a matrix to be the negative of the matrix?

what does it mean when a Matrix is multiplied by it's transpose to give $3I$(identity)

What is the purpose of the transpose in the Multivariable Taylors theorem?

column vector times row vector - Transpose

Let $A$ be an $8 \times 5$ matrix of rank 3, and let $b$ be a nonzero vector in $N(A^T)$. Show $Ax=b$ must be inconsistent.

Proving a property of transposition

Proving matrix transposition equals to zero

Matrix / Vector bracket - Transposed

If a set of vectors is a basis and S is a span for some positive integer k<n, then S transpose = span (Vk+1...Vn)

Why is the resultant of this $0$? What is this property called?

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