If 2A-3B={:((-27,4,5),(7,6,-15)):}and5A-...

If `2A-3B={:((-27,4,5),(7,6,-15)):}and5A-2B={:((-40,-1,18),(12,15,-21)):}`, then B=

A

`{:((55,-22,-11),(-11,0,33)):}`

B

`{:((5,-2,-1),(-1,0,3)):}`

C

`{:((-55,22,11),(11,0,-33)):}`

D

`{:((-5,-2,1),(1,0,3)):}`

Text Solution

Verified by Experts

The correct Answer is:

B

(i) Solve as linear equations.
(ii) Multiply 2A-3B by 5.
Multiply 5A-2B by 2 and then add to get matrix B.

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