Advertisements
Advertisements
प्रश्न
If matrix A = `[(2, 2),(0, 2)]` and A2 = `[(4, x),(0, 4)]`, then the value of x is ______.
विकल्प
2
4
8
10
उत्तर
If matrix A = `[(2, 2),(0, 2)]` and A2 = `[(4, x),(0, 4)]`, then the value of x is 8.
Explanation:
Given, matrix A = `[(2, 2),(0, 2)]`.
Then A2 = `[(2, 2),(0, 2)][(2, 2),(0, 2)] = [(4, 8),(0, 4)]`
On comparing it with A2 = `[(4, x),(0, 4)]`, we get that
x = 8
APPEARS IN
संबंधित प्रश्न
Find x and y, if `[(4, 3x),(x, -2)][(5), (1)] = [(y),(8)]`
If M = `[(1, 2),(2, 1)]` and I is a unit matrix of the same order as that of M; show that: M2 = 2M + 3I.
If A = `[(2, 1, -1),(0, 1, -2)]`, Find A . At where At is the transpose of matrix A.
If `P = [(2,6),(3,9)]` and `Q = [(3,x),(y, 2)]` find x and y such that PQ = null matrix
If A = `[(2, 4),(3, 2)]` and B = `[(1, 3),(-2, 5)]`
find BA.
`[(2sin 30° ,- 2 cos 60°),(- cot 45° , sin 90°)]`
`[(tan 45° , sec 60°),("cosec" 30° , cos 0°)]`
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)]`
A = `[(1, 0),(2, 1)] and "B" = [(2, 3),(-1, 0)]` Find A2 + AB + B2
Find x and y if `[(x + y, y),(2x, x - y)] [(2),(-1)] = [(3),(2)]`
If A = `[(3, x),(0, 1)] and "B" = [(9, 16),(0, -y)]`find x and y when A2 = B