If `Aa n dB`
are two square matrices such that `B=-A^(-1)B A ,t h e n(A+B)^2`
is equal to
`A^2+B^2`
b. `O`
c. `A^2+2A B+B^2`
d. `A+B`
Text Solution
Verified by Experts
We have given as `Aa n dB`
are two square matrices.
And `B=-A^(-1)B A `
Then we have to find
`(A+B)^2`
As we given that `B=-A^(-1)B A `
`implies AB=-(A``A^(-1))BA`
`implies AB=-BA`
...
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