Advertisements
Advertisements
Question
Let `"A" = [(4 , -2),(6 , -3)], "B" = [(0 , 2),(1 , -1)] and "C" = [(-2 , 3),(1 , -1)]`. Find A2 - A + BC
Solution
`"A" = [(4 , -2),(6 , -3)], "B" = [(0 , 2),(1 , -1)] and "C" = [(-2 , 3),(1 , -1)]`.
∴ A2 = `[(4 , -2),(6 , -3)][(4 , -2),(6 , -3)]`
= `[(16 - 12, -8 +6),(24 - 18, -12 + 9)]`
∴ A2 = `[(4 , -2),(6 , -3)]`
BC = `[(0 , 2),(1 , -1)][(-2 , 3),(1 , -1)] = [(0 + 2 , 0 -2),(-2 - 1, 3 + 1)]`
= `[(2 , -2),(-3 , 4)]`
Now A2 - A + BC
= `[(4 , -2),(6 , -3)] - [(4 , -2),(6 , -3)] + [(2 , -2),(-3 , 4)]`
= `[(0 , 0),(0 , 0)] + [(2 , -2),(-3 , 4)] = [(2 , -2),(-3 , 4)]`
APPEARS IN
RELATED QUESTIONS
Given A = `[(2, 0),(-1, 7)]` and I = `[(1, 0),(0, 1)]` and A2 = 9A + ml. Find m.
Find x and y, if : `[(x, 3x),(y, 4y)][(2),(1)] = [(5),(12)]`.
If A =`|(1, 9 , 4),(5 , 0 , 3)|` , find negative A
Evaluate the following :
`|(2 , -5),(0 , -3)| |(1 , -1),(3 , 2)|`
Given matrix A = `[(4sin30^@,cos0^@), (cos0^@,4sin30^@)] and B = [(4), (5)]` If AX = B.
Write the order of matrix X.
Given that A = `[(3, 0),(0, 4)]` and B = `[(a, b),(0, c)]` and that AB = A + B, find the values of a, b and c.
If A = `[(9 , 1),(5 , 3)]` and B = `[(1 , 5),(7 , -11)]`, find matrix X such that 3A + 5B - 2X = 0.
Choose the correct answer from the given four options :
If `[(x + 3, 4),(y - 4, x + y)] = [(5, 4),(3, 9)]` then the values of x and y are
Choose the correct answer from the given four options :
If `x[(2),(3)] + y[(-1),(0)] = [(10),(6)]` then the values of x and y are
If A = `[(3/5, 2/5),(x, y)]` and A2 = I, find x,y
