Advertisements
Advertisements
Question
Evaluate x,y if
`[(3 , -2),(-1 , 4)][(2x),(1)]+2[(-4),(5)] = [(8),(4y)]`
Solution
`[(3 , -2),(-1 , 4)][(2x),(1)]+2[(-4),(5)] = [(8),(4y)]`
`[(3 xx 2x + (-2) xx 1),(-1 xx 2x + 4 xx 1)] + [(-8),(10)] = [(8),(4y)]`
`[(6x - 2),(-2x + 4)] + [(-8),(10)] = [(8),(4y)]`
`[(6x - 2 - 8),(-2x + 4 + 10)] = [(8),(4y)]`
`[(6x - 10),(-2x + 14)] = [(8),(4y)]`
6x - 10 = 8
⇒ 6x = 18, x = 3
-2x + 14 = 4y
⇒ -2 x 3 + 14 = 4y
y = `(14 - 6)/(4)`
= `(8)/(4)` =2
x = 3, y = 2.
APPEARS IN
RELATED QUESTIONS
if A = `[(2,3),(5,7)]`, B = `[(0,4),(-1,7)]` and c = `[(1,0),(-1, 4)]`, find AC + B2 – 10C.
Find x and y if `[(x,3x),(y, 4y)] = [(5),(12)]`
Evaluate:
`7[(-1, 2),(0, 1)]`
If `A = [(2, 5),(1, 3)]`, `B = [(4, -2),(-1, 3)]` and I is Identity matrix of same order and `A^t` is the transpose of matrix A find `A^t.B + BI`
If A = `|(1215),(1117)|` and B = `|(2,7),(4,9)|` find : 2A + 3B
If A = `|(17 , 5 , 19),(11 , 8 , 13)|` and B =`|(9,3,7),(1,6,5)|` , find 2A - 3B
If A =`|(1, 9 , 4),(5 , 0 , 3)|` , find negative A
Find x and y, if `((x,3x),(y, 4y))((2),(1)) = ((5),(12))`.
Find the values of x and y if : `[(2x + y),(3x - 2y)] = [(5),(4)]`
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
