Advertisements
Advertisements
Question
Given A = `[(4, 1),(2, 3)]` and B = `[(1, 0),(-2, 1)]`, find A2 – AB + 2B
Solution
A2 – AB + 2B
= `[(18, 7),(14, 11)] - [(2, 1),(-4, 3)] + 2[(1, 0),(-2, 1)]`
= `[(16, 6),(18, 8)] + [(2, 0),(-4, 2)]`
= `[(18, 6),(14, 10)]`
APPEARS IN
RELATED QUESTIONS
Evaluate `2[(-1, 0),(2, -3)] + [(3,3),(5,0)]`
Find x and y if `x[(-1), (2)] - 4[(-2), (y)] = [(7),(-8)]`
Given `A = [(1, 1),(-2, 0)]` and `B = [(2, -1),(1, 1)]`. Solve for matrix X:
3A – 2X = X – 2B
Evaluate if possible `[(1, -2)][(-2, 3),(-1, 4)]`
If A = `[(0, 2),(5, -2)]`, B = `[(1, -1),(3, 2)]` and I is a unit matrix of order 2 × 2, find AB
If `[x, y][(x),(y)] = [25]` and `[(-x, y)][(2x),(y)] = [-2]` find x and y if `x, y ∈ Z` (integer)
If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|` find the value of (R + Q)P
Find matrices X and Y, if
X + Y = `[(5, 2),(0, 9)]` and X - Y = `[(3 , 6),(0, -1)]`
If A = `[(0, -1),(1, 2)]` and B = `[(1, 2),(-1, 1)]` Find the matrix X if : X – 3B = 2A
If `4[(5, x)] - 5[(y, -2)] = [(10, 22)]`, the values of x and y are ______.