1.

If A^T=[[-2,3],[1,2]] and B^T=[[-1,0],[1,2]] then find (A+2B)^T

Answer»

SOLUTION :we have `(A+2B)^T=A^T+(2B)^T=A^T+2B^T`
` B^T=[[-1,0],[0,2]] IMPLIES 2B^T=[[-2,0],[0,4]]`
THUS, `(A+2B)^T=A^T+2B^T=[[-4,5],[1,6]]`


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