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If A=[(3, 4),( 2,4)] , B=[(-2,-2),( 0,-1...

If `A=[(3, 4),( 2,4)]` , `B=[(-2,-2),( 0,-1)]` , then `(A+B)^(-1)` (a) is a skew-symmetric matrix (b) `A^(-1)+B^(-1)` (c) does not exist (d) none of these

Text Solution

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Given,`A=[(3, 4),( 2,4)]` , `B=[(-2,-2),( 0,-1)]`
(A+B)=`[(1,2),( 2,3)]`
`|A+B|=-1!=0`
Hence, inverse of (A+B) exists.
Now, `adj(A+B)=C^T=[(3,(−2)),(​−2,1)​]^T`
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