Advertisements
Advertisements
Question
If A = `[(1, 2),(3, 4)]`, B = `[(6, 1), (1, 1)]` and C = `[(-2, -3),(0, 1)]`, find the following and state if they are equal CA + B
Solution
CA = `[(-2, -3),(0, 1)][(1, 2),(3, 4)]`
= `[(-2 - 9, -4 - 12),(0 + 3, 0 + 4)]`
= `[(-11, -16), (3, 4)]`
CA + B = `[(-11, -16),(3, 4)] + [(6, 1),(1, 1)]`
= `[(-5, -15),(4, 5)]`
APPEARS IN
RELATED QUESTIONS
Given A = `[(-3, 6),(0, -9)]` and At is its transpose matrix. Find `A^t - 1/3 A`
If A = `[(2, 1),(0, 0)]`, B = `[(2, 3),(4, 1)]` and C = `[(1, 4),(0, 2)]`; then show that A(B + C) = AB + AC.
Find x and y, if `[(3x, 8)][(1, 4),(3, 7)] - 3[(2, -7)] = 5[(3, 2y)]`
If A = `|(15,7),(13,8)|` and B = `|(16 , 12),(27,11)|` , find matrix X such that A + X
Let A be a 2 x 2 matrix and let I be an identity matrix of the order 2 x 2. Prove that AI = IA = A.
If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|` find the value of (R + Q)P
If A = `[(9 , 1),(7 , 8)]` , B = `[(1 , 5),(7 , 12)]`
find matrix C such that 5A + 5B + 2C is a null matrix.
If A = `[(0, -1),(1, 2)]` and B = `[(1, 2),(-1, 1)]` Find the matrix X if : X – 3B = 2A
If A = `[(5, -5),(3, -3)]` and B = `[(-5, 5),(-3, 3)]`; the value of matrix (A – B) is ______.
The additive inverse of matrix A + B, where A = `[(4, 2),(7, -2)]` and B = `[(-2, 1),(3, -4)]` is ______.