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Matrix Equation

Solution Of Matrix Equation

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Matrix Equation

 If A is a 2 × 3 matrix and B is 3 × 2 matrix, then the order of (AB)T is equal to the order of …….

Solution:

 A                              B

2 x 3               3x 2

 

A                 B           -            2 x 2

2 x 3          3 x 2

 

(AB)T        -         2 x 2

 

B               A             -         3 x 3

3x 2        2 x 3

 

AT      -           3 x 2

BT          -             2 x 3

ATBT      -               3 x 3

 

AT             BT            -               3 x 3

3x2       2x3

 

 

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