Advertisements
Advertisements
Question
Solve for x and y:
`[(-2, 0),(3, 1)][(-1),(2x)] + 3[(-2),(1)] = 2[(y),(3)]`
Solution
`[(-2, 0),(3, 1)][(-1), (2x)] + 3[(-2),(1)] = 2[(y),(3)]`
`=> [(-2 xx -1 + 0 xx 2x),(3x - 1 + 1 xx 2x)] + [(-6),(3)] = [(2y),(6)]`
`=> [(2),(-3 + 2x)] + [(-6),(3)] = [(2y),(6)]`
`=> [(2 - 6),(-3 + 2x + 3)] = [(2y),(6)]`
`=> [(-4),(2x)] = [(2y),(6)]`
`=>` 2y = –4 and 2x = 6
y = –2 and x = 3
Thus, the values of x and y are 3, –2.
RELATED QUESTIONS
Given `A = [(-1, 0),(2,-4)]` and `B = [(3, -3),(-2, 0)]`; find the matrix X in the following:
A – X = B
Evaluate:
`6[(3),(-2)] -2[(-8),(1)]`
If I is the unit matrix of order 2 × 2; find the matrix M, such that `5M + 3I = 4[(2, -5),(0, -3)]`
If A = `[(0, 2),(5, -2)]`, B =` [(1, -1),(3, 2)]` and I is a unit matrix of order 2 × 2, find AI
Given A = `[(4, 1),(2,3)]` and B = `[(1, 0),(-2, 1)]`, find A – B
Find the matrix A, if `B = [(2, 1),(0, 1)]` and `B^2 = B + 1/2 A`.
If P =`|(1 , 2),(3 , 4)|` , Q = `|(5 , 1),(7 , 4)|` and R = `|(2 , 1),(4 , 2)|` find the value of (R + Q)P
If `2[(3, 4),(5, x)] + [(1, y),(0, 1)] = [(7, 0),(10, 5)]` Find the values of x and y
If A = `[(3, -5),(-4, 2)]` find A2 – 5A – 14I
Where I is unit matrix of order 2 x 2
If A = `[(5, -5),(3, -3)]` and B = `[(-5, 5),(-3, 3)]`; the value of matrix (A – B) is ______.
