Advertisements
Advertisements
Question
If A = `[(0, 2),(5, -2)]`, B = `[(1, -1),(3, 2)]` and I is a unit matrix of order 2 × 2, find A2
Solution
A2 = `[(0, 2),(5, -2)][(0, 2),(5, -2)]`
= `[(0 xx 0 + 2 xx 5, 0 xx 2 + 2 xx -2),(5 xx 0 + (-2) xx 5, 5 xx 2 + (-2) xx (-2))]`
= `[(0 + 10, 0 - 4), (0 - 10, 10+ 4)]`
= `[(10, -4),(-10, 14)]`
APPEARS IN
RELATED QUESTIONS
Given A = `[(2, -6),(2, 0)]`, B = `[(-3, 2),(4, 0)]` and C = `[(4, 0),(0, 2)]`. Find the matrix X such that A + 2X = 2B + C.
Given `A = [(2, -3)], B = [(0, 2)]` and `C = [(-1, 4)]`; find the matrix X in the following:
A – X = B + C
Evaluate:
`6[(3),(-2)] -2[(-8),(1)]`
Given `A = [(1 4),(2 3)] and B = [(-4 -1),(-3 -2)]` Find the matrix C such that C + B = `[(0, 0),(0,0)]`
Given `A = [(2, 1),(3, 0)], B = [(1, 1),(5, 2)]` and `C = [(-3, -1),(0, 0)]`; find A + 2C – B
If A = `|(15,7),(13,8)|` and B = `|(16 , 12),(27,11)|` , find matrix X such that A + X
If X = `|(1 , -2),(1 , 3)|` , Y = `|(-3 , 0),(4 , 1)|` and Z = `|(5 , -1),(3 , 2)|` , prove that X (Y + Z) = XY + XZ
If A = `[(2, 0),(-3, 1)]` and B = `[(0, 1),(-2, 3)]` find 2A – 3B
A = `[(1, 2),(-2, 3)]` and B = `[(-2, -1),(1, 2)], "C" [(0, 3),(2, -1)]`Find A + 2B – 3C
Solve the matrix equation `[(2, 1),(5, 0)] -3"X" = [(-7, 4),(2, 6)]`