Advertisements
Advertisements
Question
If A = `[(1, 4),(2, 1)]`, B = `[(-3, 2),(4, 0)]` and C = `[(1, 0),(0, 2)]`, simplify : A2 + BC.
Solution
A2 = `[(1, 4),(2, 1)][(1, 4),(2, 1)]`
= `[(1 + 8, 4 + 4),(2 + 2, 8 + 1)]`
= `[(9, 8),(4, 9)]`
BC = `[(-3, 2),(4, 0)][(1, 0),(0, 2)]`
= `[(-3 + 0, 0 + 4),(4 + 0, 0 + 0)]`
= `[(-3, 4),(4, 0)]`
A2 + BC = `[(9, 8),(4, 9)] + [(-3, 4),(4, 0)]`
= `[(6, 12),(8, 9)]`
APPEARS IN
RELATED QUESTIONS
Given `A = [(2, -3)], B = [(0, 2)]` and `C = [(-1, 4)]`; find the matrix X in the following:
A – X = B + C
Given `A = [(-1, 0),(2, -4)]` and `B = [(3, -3),(-2, 0)]`; find the matrix X in the following:
A + X = B
If `[(4, -2),(4, 0)] + 3A = [(-2, -2),(1, -3)]`; find A.
Given A = `[(-3, 6),(0, -9)]` and At is its transpose matrix. Find 2A + 3At
If A = `[(2, 1),(0, 0)]`, B = `[(2, 3),(4, 1)]` and C = `[(1, 4),(0, 2)]`; then show that (B – A)C = BC – AC.
If `|(2"a" + "b" , "c"),("d" , 3"a" - "b")|` = `|(4 , 3"a"),(7 , 6)|` , find the values of a , b , c and d.
Evaluate the following:
`|(3 , 2)| |(-1) , (3)|`
Given A = `[(1, 4),(2, 3)]` and B = `[(-4, -1),(-3, -2)]` find a matrix C such that C + B = `[(0, 0),(0, 0)]`
If `[(1, 4),(-2, 3)] + 2M = 3[(3, 2),(0, -3)]`, find the matrix M.
If `4[(5, x)] - 5[(y, -2)] = [(10, 22)]`, the values of x and y are ______.