Advertisements
Advertisements
Question
Choose the correct answer from the given four options :
If `[(x - 2y, 5),(3, y)] = [(6, 5),(3, -2)]` then the value of x is
Options
– 2
0
1
2
Solution
`[(x - 2y, 5),(3, y)] = [(6, 5),(3, -2)]`
Comparing, we get
y = -2
and
x – 2y = 6
⇒ x – 2 x (-2) = 6
⇒ x + 4 = 6
⇒ x = 6 – 4 = 2.
APPEARS IN
RELATED QUESTIONS
Given matrix B = `[(1, 1),(8, 3)]`. Find the matrix X if, X = B2 – 4B. Hence, solve for a and b given `X[(a),(b)] = [(5),(50)]`.
If A = `[(3, 1),(-1, 2)]` and I = `[(1, 0),(0, 1)]`, find A2 – 5A + 7I.
Given `[(2, 1),(-3,4)]` . X = `[(7),(6)]`. Write:
- the order of the matrix X.
- the matrix X.
If A and B are any two 2 × 2 matrices such that AB = BA = B and B is not a zero matrix, what can you say about the matrix A?
If A = [4 7] and B = [3 l], find : 2A - 3B
Let A = `[(2, 1),(0, -2)]`, B = `[(4, 1),(-3, -2)]` and C = `[(-3, 2),(-1, 4)]`. Find A2 + AC – 5B.
Find the value of p and q if:
`[(2p + 1 , q^2 - 2),(6 , 0)] = [(p + 3, 3q - 4),(5q - q^2, 0)]`.
Find x, y if `[(-2, 0),(3, 1)] [(-1),(2x)] +3[(-2),(1)] = 2[(y),(3)]`.
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 = `[(3, -4),(-1, 2)]`, find matrix B such that BA = I,where I is unity matrix of order 2
