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If A={:[(2,-3),(1,2)]:}andB={:[(3,2),(7,...

If `A={:[(2,-3),(1,2)]:}andB={:[(3,2),(7,-1)]:}`, find matrix C such that `C=AB+A^(2)B`.

A

`{:[(-96,21),(36,7)]:}`

B

`{:[(96,21),(36,-7)]:}`

C

`{:[(-96,-21),(36,-7)]:}`

D

`{:[(-96,21),(36,-7)]:}`

Text Solution

Verified by Experts

The correct Answer is:
D
(i) C=A(B+AB).
(ii) `C=AB+A^(2)B=A(B+AB)`.
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Knowledge Check

  • If A={:[(1,-4),(3,2)]:}andB={:[(6,-1),(3,2)]:} , then find the matrix C such that C=AB+B^(2) .

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    `{:[(-3,-4),(-1,0)]:}`
    B
    `{:[(-3,-4),(1,0)]:}`
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    C
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