Advertisements
Advertisements
प्रश्न
If A = `[(1, 1),(x, x)]`,find the value of x, so that A2 – 0
उत्तर
Given
A = `[(1, 1),(x, x)]`
A2 = `[(1, 1),(x, x)][(1, 1),(x, x)]`
= `[(1 + x, 1 + x),(x + x^2, x + x^2)]`
∵ A2 = 0
∴ = `[(1 + x, 1 + x),(x + x^2, x + x^2)]` = 0
= `[(0, 0),(0, 0)]`
Comparing
1 + x = 0
⇒ x = –1.
APPEARS IN
संबंधित प्रश्न
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 `P = [(2,6),(3,9)]` and `Q = [(3,x),(y, 2)]` find x and y such that PQ = null matrix
Given `[(2, 1),(-3, 4)] "X" = [(7),(6)]`.
the order of the matrix X.
If A = `[(2, 4),(3, 2)]` and B = `[(1, 3),(-2, 5)]`
find BA.
Given A = `[(1, 1),(8, 3)]`, evaluate A2 – 4A
If A = `[(3, 7),(2, 4)], "B" = [(0, 2),(5, 3)] and "C" = [(1, -5),(-4, 6)]` Find AB – 5C
Solve the matrix equation : `[(4),(1)],"X" = [(-4, 8),(-1, 2)]`
Choose the correct answer from the given four options :
If A = `[(2, -2),(-2, 2)]`, then A2 = pA, then the value of p is
If A = `[(1, 4),(1, 0)], "B" = [(2, 1),(3, -1)] and "C" = [(2, 3),(0, 5)]` compute (AB)C = (CB)A ?
If A = `[(3, 2),(0, 5)] and "B" = [(1, 0),(1, 2)]` find the each of the following and state it they are equal: A2 – B2
