Compute the following:(i) `[[a, b],[-b, a]]+[[a, b],[b ,a]]` (ii) `[[a^2+b^2, b^2+c^2],[a^2+c^2,a^2+b^2]]+[[2ab,2b c],[-2a c,-2a b]]`(iii) `[[-1 ,4,-6],[ 8 ,5, 16],[ 2, 8, 5]]+[[12 ,7, 6],[ 8, 0, 5],[ 3 ,2, 4]]` (iv) `[[cos^2x,sin^2x],[sin^2x,cos^2x]]+[[sin^2x,cos^2x],[cos^2x,sin^2x]]`

Explanation

`(i) [[a, b],[-b, a]]+[[a, b],[b ,a]]`

`=>[[a+a,b+b],[
−b+b,
a+a]]=[[2a,2b],[0,2a]]`


`(ii)[[a^2+b^2, b^2+c^2],[a^2+c^2,a^2+b^2]]+[[2ab,2b c],[-2a c,-2a b]]`


`=>[[a ^
2
+b ^
...