12. If A=[2-。引and B-F-:],find a matrix C such that1 0 -1(A + B+ C)

1.	12. If A=[2-。引and B-F-:],find a matrix C such that1 0 -1(A + B+ C) is a zero matrix.
Answer» let the C matrix be [ x,y,z ] [u,v,w] For A+B+C = 0. all the sum of elements should be zero. 1+2+x =0 => x = -3. similarly y = 4 , z = -1 u = -3 , v = 0 , and w = -1 so the matrix C is first row [-3,4,-1] 2nd row [-3,0,-1]

12. If A=[2-。引and B-F-:],find a matrix C such that1 0 -1(A + B+ C) is a zero matrix.

Answer»

let the C matrix be [ x,y,z ] [u,v,w]

For A+B+C = 0. all the sum of elements should be zero. 1+2+x =0 => x = -3. similarly y = 4 , z = -1 u = -3 , v = 0 , and w = -1

so the matrix C is first row [-3,4,-1] 2nd row [-3,0,-1]