Advertisements
Advertisements
Question
Given `A = [(2, 1),(3, 0)], B = [(1, 1),(5, 2)]` and `C = [(-3, -1),(0, 0)]`; find A + 2C – B
Solution
A + 2C – B
= `[(2, 1),(3, 0)] + 2[(-3, -1),(0, 0)] + [(1, 1),(5, 2)]`
= `[(2, 1),(3, 0)] + [(-6, -2),(0, 0)] - [(1, 1),(5, 2)]`
= `[(2 - 6 - 1, 1- 2 - 1),(3 + 0 - 5, 0 + 0 - 2)]`
= `[(2 - 7, 1 - 3),(3 - 5, 0 - 2)]`
= `[(-5, -2),(-2, -2)]` or `-[(5, 2),(2, 2)]`
APPEARS IN
RELATED QUESTIONS
Evaluate:
`6[(3),(-2)] -2[(-8),(1)]`
Given A = `[(-3, 6),(0, -9)]` and At is its transpose matrix. Find `1/2 A - 1/3 A^t`
Given A = `[(4, 1),(2,3)]` and B = `[(1, 0),(-2, 1)]`, find A – B
Given `A = [(4, 1), (2,3)] and B = [(1, 0),(-2, 1)]` Find `A^2 - AB + 2B`
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
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 X = `[(4 , 1),(-1 , 2)]`, show that 6X - X2 = 9I, where I is unit matrix.
Determine the matrices A and B when A + 2B = `[(1, 2),(6, -3)] and 2"A" - "B" = [(2, -1),(2, -1)]`
If A = `[(5, 5),(4, 0)]`, B = `[(3, 2),(1, 4)]` and C = `[(-2, 3),(2, 1)]` then matrix (A + B – C) is ______.
