Advertisements
Advertisements
प्रश्न
If A = `[(1, 2),(3, 4)] and "B" = [(2, 1),(4, 2)], "C" = [(5, 1),(7, 4)]`, compute A(B + C)
उत्तर
A(B + C)
A = `[(1, 2),(3, 4)]`
B = `[(2, 1),(4, 2)]`
C = `[(5, 1),(7, 4)]`
A(B + c) = `[(1, 2),(3, 4)] [(2, 1),(4, 2)] + [(5, 1),(7, 4)]`
= `[(1, 2),(3, 4)][(2 + 5, 1 + 1),(4 + 7, 2 + 4)]`
= `[(1, 2),(3, 4)][(7, 2),(11, 6)]`
= `[(7 + 22, 2 + 12),(21 + 44, 6 + 24)]`
= `[(29, 14),(65, 30)]`.
APPEARS IN
संबंधित प्रश्न
If A = `[(1, 3),(2, 4)]`, B = `[(1, 2),(4, 3)]` and C = `[(4, 3),(1, 2)]`, find:
- (AB)C
- A(BC)
Is A(BC) = (AB)C?
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.
Find the matrix A, If B =`[(2,1),(0,1)] and B^2 = B+1/2A`
If A = `[(2, 5),(1, 3)] "B" = [(1, -1),(-3, 2)]` , find AB and BA, Is AB = BA ?
If A = `[(3, 7),(2, 4)], "B" = [(0, 2),(5, 3)] and "C" = [(1, -5),(-4, 6)]` Find AB – 5C
If A = `[(1, 2),(3, 4)] and "B" = [(2, 1),(4, 2)], "C" = [(5, 1),(7, 4)]`, compute (B + C)A
Show that `[(1, 2),(2, 1)]` is a solution of the matrix equation X² – 2X – 3I = 0,Where I is the unit matrix of order 2
If `[(a, 1),(1, 0)] [(4, 3),(-3, 2)] = [(b, 11),(4, c)]` find a,b and c
Given `[(2, 1),(-3, 4)], "X" = [(7),(6)]` the matrix X.
If A = `[(1, 4),(1, 0)], "B" = [(2, 1),(3, -1)] and "C" = [(2, 3),(0, 5)]` compute (AB)C = (CB)A ?
