Advertisements
Advertisements
Question
Solve for x and y:
`[(2, 5),(5, 2)][(x),(y)] = [(-7),(14)]`
Solution
`[(2, 5),(5, 2)][(x),(y)] = [(-7),(14)]`
`[(2x + 5y),(5x + 2y)] = [(-7),(14)]`
Comparing the corresponding elements, we get,
2x + 5y = –7 ...(1)
5x + 2y = 14 ...(2)
Multiplying (1) and 2 and (2) with 5, we get,
4x + 10y = –14 ...(3)
25x + 10y = 70 ...(4)
Subtracting (3) from (4), we get,
21x = 84
`=>` x = 4
From (2),
2y = 14 – 5x
= 14 – 20
= –6
`=>` y = –3
APPEARS IN
RELATED QUESTIONS
Find x and y, if `[(4, 3x),(x, -2)][(5), (1)] = [(y),(8)]`
In the given case below, find:
- the order of matrix M.
- the matrix M.
- `M xx [(1, 1),(0, 2)] = [(1, 2)]`
- `[(1, 4),(2, 1)] xx M = [(13), (5)]`
Given `[(2, 1),(-3, 4)] "X" = [(7),(6)]`.
the order of the matrix X.
Find the 2 x 2 matrix X which satisfies the equation.
`[(3, 7),(2, 4)][(0 , 2),(5 , 3)] + 2"X" = [(1 , -5),(-4 , 6)]`
Given martices A = `[(2, 1),(4, 2)] and "B" = [(3, 4),(-1, -2)], "C" = [(-3, 1),(0, -2)]` Find the products of (i) ABC (ii) ACB and state whether they are equal.
A = `[(1, 2),(3, 4)] and "B" = [(6, 1),(1, 1)], "C" = [(-2, -3),(0, 1)]` find each of the following and state if they are equal. A + CB
If `[(1, 3),(0, 0)] [(2),(-1)] = [(x),(0)]` Find the value of x
Find x and y if `[(2x, x),(y, 3y)][(3),(2)] = [(16),(9)]`
If `[(a, 1),(1, 0)] [(4, 3),(-3, 2)] = [(b, 11),(4, c)]` find a,b and c
If P = `[(2, 6),(3, 9)]` and Q = `[(3, x),(y, 2)]`, find x and y such that PQ = null matrix.
