Given matrix , find the matrix X if, X = B2 - 4B.
Hence solve for a and b given .
Given: B = and X = B2 - 4 B
Now, B2 = B x B
Given matrix
If AX = B
( i ) Write the order of matrix X.
( ii ) Find the matrix 'X'.
( i ) Let the order of matrix X = m x n
Order of matrix A = 2 x 2
Order of matrix B = 2 x 1
Now, A X = B
Order of matrix X = m x n = 2 x 2
( ii ) Let the matrix X =
AX = B
Multiplying ( i ) by 2, we get
4 x + 2 y = 8 ........( iii )
Subtracting ( ii ) from ( iii ), we get
3 x = 3
X = 1
Substitute X in ( i ), we get
2 x 1 + y = 4
If find AC + B2 - 10 C.