Advertisements
Advertisements
प्रश्न
If A = `[(3, 5),(4,- 2)]` and B = `[(2),(4)]`, is the product AB possible ? Given a reason. If yes, find AB.
उत्तर
A = `[(3, 5),(4,- 2)]_(2 xx 2)` and B = `[(2),(4)]_(2 xx 1)` the product AB is possible as the number of columns in A are equal to the number of rows in B.
Now AB = `[(3, 5),(4,- 2)] [(2),(4)]`
= `[(3 xx 2 + 5 xx 4),(4 xx 2 + (-2) xx 4)]`
= `[(26),(0)]`.
APPEARS IN
संबंधित प्रश्न
Find x and y, if `[(4, 3x),(x, -2)][(5), (1)] = [(y),(8)]`
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°)]`
Construct a 2 x 2 matrix whose elements aij are given by `((i + 2j)^2)/(2)`.
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.
If A = `[(-1, 3),(2, 4)], "B" = [(2, -3),(-4, -6)]` find the matrix AB + BA
Find the matrix X of order 2 × 2 which satisfies the equation `[(3, 7),(2, 4)] [(0, 2),(5, 3)] + 2"X" = [(1, -5),(-4, 6)]`
Find the value of x given that A2 = B Where A = `[(2, 12),(0, 1)] and "B" = [(4, x),(0, 1)]`
If P = `[(2, 6),(3, 9)]` and Q = `[(3, x),(y, 2)]`, find x and y such that PQ = null matrix.
If matrix A = `[(2, 2),(0, 2)]` and A2 = `[(4, x),(0, 4)]`, then the value of x is ______.