Question

If $Ax=0$ has infinitely many solutions, does $A^Tx=b$ also have infinitely many solutions?

score 1.5k · Answer 1 · 2017-12-17 16:45:53

1.5k

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If $Ax=0$ has infinitely many solutions, does $A^Tx=b$ also have infinitely many solutions?

Published on 17 Dec 2017 - 16:45

score 175 · Answer 2 · 2017-12-18 16:13:28

175

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show $A^TAx=A^Tb$ has a solution with Rank (A) not necessarily n

Published on 18 Dec 2017 - 16:13

score 72 · Answer 3 · 2017-12-26 08:36:33

72

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how does the multiplication of a column matrix and its transpose equal to one another commutatively?

Published on 26 Dec 2017 - 8:36

score 1.4k · Answer 4 · 2017-12-27 20:36:27

1.4k

Views

Who established the tradition of using $X^{\prime}$ instead of $X^{T}$ to denote the matrix transpose?

Published on 27 Dec 2017 - 20:36

score 2.2k · Answer 5 · 2026-03-26 12:37:27

2.2k

Views

Adding a diagonal matrix to a product of transpose of a matrix and itself is always invertible

Published on 26 Mar 2026 - 12:37

score 35 · Answer 6 · 2018-01-05 05:36:52

35

Views

Calculations with Transposed Inverse matrix

Published on 05 Jan 2018 - 5:36

score 112k · Answer 7 · 2010-08-13 00:24:38

112k

Views

Is the rank of a matrix the same of its transpose? If yes, how can I prove it?

Published on 13 Aug 2010 - 0:24

score 55.3k · Answer 8 · 2026-03-27 06:41:58

55.3k

Views

What is the geometric interpretation of the transpose?

Published on 27 Mar 2026 - 6:41

score 24.2k · Answer 9 · 2011-09-07 07:48:59

24.2k

Views

Matrix is conjugate to its own transpose

Published on 07 Sep 2011 - 7:48

score 201 · Answer 10 · 2012-09-26 21:25:11

201

Views

Existence of 5-d centrally symmetric self-dual polytope

Published on 26 Sep 2012 - 21:25

score 41.1k · Answer 11 · 2012-11-28 05:47:41

41.1k

Views

Transpose of block matrix

Published on 28 Nov 2012 - 5:47

score 99 · Answer 12 · 2013-02-21 12:28:16

99

Views

Transpose of 2 matrices together

Published on 21 Feb 2013 - 12:28

score 350.3k · Answer 13 · 2013-03-25 00:52:26

350.3k

Views

Transpose of inverse vs inverse of transpose

Published on 25 Mar 2013 - 0:52

score 136 · Answer 14 · 2020-08-10 22:13:13

136

Views

Transpose of a matrix with two different orthonormal bases

Published on 10 Aug 2020 - 22:13

score 104 · Answer 15 · 2020-08-21 13:19:43

104

Views

Linear Algebra: How to prove that $AC^T$ is a diagonal matrix

Published on 21 Aug 2020 - 13:19

List Question

If $Ax=0$ has infinitely many solutions, does $A^Tx=b$ also have infinitely many solutions?

show $A^TAx=A^Tb$ has a solution with Rank (A) not necessarily n

how does the multiplication of a column matrix and its transpose equal to one another commutatively?

Who established the tradition of using $X^{\prime}$ instead of $X^{T}$ to denote the matrix transpose?

Adding a diagonal matrix to a product of transpose of a matrix and itself is always invertible

Calculations with Transposed Inverse matrix

Is the rank of a matrix the same of its transpose? If yes, how can I prove it?

What is the geometric interpretation of the transpose?

Matrix is conjugate to its own transpose

Existence of 5-d centrally symmetric self-dual polytope

Transpose of block matrix

Transpose of 2 matrices together

Transpose of inverse vs inverse of transpose

Transpose of a matrix with two different orthonormal bases

Linear Algebra: How to prove that $AC^T$ is a diagonal matrix

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