Matrix Transposition Properties

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5 Terms

1
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If A is an m x n matrix then the transpose of A is the n x m matrix AT whose rows are the columns of A, turned sideways.

For example

A =

1

2

3

4

5

6

AT =

1

4

2

5

3

6

2
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(AT)T =

A

3
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(cA)T =

cAT

4
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(A + B)T =

AT + BT

5
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(AB)T =

BTAT