Advertisements
Advertisements
प्रश्न
Let A = `[(4, -2),(6, -3)]`, B = `[(0, 2),(1, -1)]` and C = `[(-2, 3),(1, -1)]`. Find A2 – A + BC
उत्तर
A2 = `[(4, -2),(6, -3)][(4, -2),(6, -3)]`
= `[(16 - 12, -8 + 6),(24 - 18, -12 + 9)]`
= `[(4, -2),(6, -3)]`
BC = `[(0, 2),(1, -1)][(-2, 3),(1, -1)]`
= `[(0 + 2, 0 - 2),(-2 - 1, 3 + 1)]`
= `[(2, -2),(-3, 4)]`
Given, A2 – A + BC
= `[(4, -2),(6, -3)] - [(4, -2),(6, -3)] + [(2, -2),(-3, 4)]`
= `[(0, 0),(0, 0)] + [(2, -2),(-3, 4)]`
= `[(2, -2),(-3, 4)]`
APPEARS IN
संबंधित प्रश्न
Given A = `[(2, 0),(-1, 7)]` and I = `[(1, 0),(0, 1)]` and A2 = 9A + ml. Find m.
Find x and y if `[(x,3x),(y, 4y)] = [(5),(12)]`
Evaluate:
`[(cos 45°, sin 30°),(sqrt(2) cos 0°, sin 0°)] [(sin 45°, cos 90°),(sin 90°, cot 45°)]`
If A = `[(3, a),(-4, 8)]`, B = `[(c, 4),(-3, 0)]`, C = `[(-1, 4),(3, b)]` and 3A – 2C = 6B, find the values of a, b and c.
If P = `|(2 , 9),(5 , 7)|` and Q = `|(7 , 3),(4 , 1)|` , find 2P + 3Q
If A = `|(17 , 5 , 19),(11 , 8 , 13)|` and B =`|(9,3,7),(1,6,5)|` , find 2A - 3B
Evaluate the following :
`|(-2 , 3),(-1 , 4)| |(6 , 4),(3 ,- 1)|`
Find x and y if
`[( x , 3x),(y , 4y)][(2),(1)] = [(5),(12)]`.
If `"A" = [(1 , 2),(-2 , 3)], "B" = [(2 , 1),(2 , 3)] "C" = [(-3 , 1),(2 , 0)]` verify that
A(B + C) = AB + AC.
If B = `[(-4, 2),(5, -1)] and "C" = [(17, -1),(47, -13)]` find the matrix A such that AB = C
