Advertisements
Advertisements
Question
If P = `|(14 , 17),(13,1)|` and Q = `|(2 , 1),(3 , -3)|` , find matrix M such that P - M = 3Q
Solution
P = `|(14 , 17),(13,1)|_(2 xx 2) Q = |(2 , 1),(3 , -3)|_(2 xx 2)`
P - M = 3Q
M = P - 3Q
M = `|(14 , 17),(13,1)| - |(6 , 3),(9 , -9)|`
`=|(14 - 6 , 17 - 3),(13 - 9 , 1 + 9)|`
`= |(8 , 14),(4 , 10)|_(2 xx 2)`
APPEARS IN
RELATED QUESTIONS
Let `A = [(2,1),(0,-2)], B = [(4,1),(-3,-2)] and C = [(-3,2),(-1,4)]`. Find `A^2 + AC - 5B`
Find x and y if `x[(-1), (2)] - 4[(-2), (y)] = [(7),(-8)]`
Given `A = [(1, 4),(2, 3)] and B = |(-4-1),(-3 -2)|`
Find the matrix 2A + B
If A = `[(0, 2),(5, -2)]`, B = `[(1, -1),(3, 2)]` and I is a unit matrix of order 2 × 2, find AB
If A = `[(0, 2),(5, -2)]`, B = `[(1, -1),(3, 2)]` and I is a unit matrix of order 2 × 2, find B2A
Given `A = [(2, 1),(3, 0)], B = [(1, 1),(5, 2)]` and `C = [(-3, -1),(0, 0)]`; find A + 2C – B
Given that M = `[(2, 0),(1, 2)]` and N = `[(2, 0),(-1,2)]`, find M + 2N
If A = `[(2, a),(-3, 5)] and "B" = [(-2, 3),(7, b)], "C" = [(c, 9),(-1, -11)]` and 5A + 2B = C, find the values of a,b,c
Determine the matrices A and B when A + 2B = `[(1, 2),(6, -3)] and 2"A" - "B" = [(2, -1),(2, -1)]`
If `2[(3, x),(0, 1)] + 3[(1, 3),(y, 2)] = [(z, -7),(15, 8)]`, the values of x, y and z are ______.
