Advertisements
Advertisements
Question
Given `A = [(-1, 0),(2, -4)]` and `B = [(3, -3),(-2, 0)]`; find the matrix X in the following:
X – B = A
Solution
X – B = A
X = A + B
`X = [(-1, 0),(2, -4)] + [(3, -3),(-2, 0)]`
= `[(-1 + 3, 0 - 3),(2 - 2, -4 + 0)]`
= `[(2, -3), (0, -4)]`
APPEARS IN
RELATED QUESTIONS
If I is the unit matrix of order 2 × 2; find the matrix M, such that `5M + 3I = 4[(2, -5),(0, -3)]`
Evaluate if possible `[(6, 4),(3, -1)][(-1),(3)]`
If `A = [(1, 4),(1, -3)]` and `B = [(1, 2),(-1, -1)]` Find `A^2 + B^2`
If A = `|(15,7),(13,8)|` and B = `|(16 , 12),(27,11)|` , find matrix X such that A + X
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 = `[(0, -1),(1, 2)]` and B = `[(1, 2),(-1, 1)]` Find the matrix X if : 3A + X = B
Find X and Y If X + Y = `[(7, 0),(2, 5)]` and X – Y = `[(3, 0),(0, 3)]`
If A = `[(5, 5),(4, 0)]`, B = `[(3, 2),(1, 4)]` and C = `[(-2, 3),(2, 1)]` then matrix (A + B – C) is ______.
If `2[(3, x),(0, 1)] + 3[(1, 3),(y, 2)] = [(z, -7),(15, 8)]`, the values of x, y and z are ______.
If matrix A = `[(x - y, x + y),(y - x, y + x)]` and matrix B = `[(x + y, y - x),(x - y, y + x)]` then A + B is ______.