Advertisements
Advertisements
प्रश्न
Given A = `[(1 , 1),(8 , 3)]` evaluate A2 - 4A.
उत्तर
A = `[(1 , 1),(8 , 3)]`
A2 = A x A = `[(1, 1),(8 , 3)][(1 , 1),(8 , 3)]`
= `[(1 + 8 , 1 + 3),(8 + 24, 8 + 9)] = [(9 , 4),(32 , 17)]`
4A = `4[(1 , 1),(8 , 3)] = [(4 , 4),(32 , 12)]`
A2 - 4A = `[(9 , 4),(32 , 17)] - [(4 , 4),(32 , 12)]`
= `[(9 - 4, 4 - 4),(32 - 32, 17 - 12)]`
A2 - 4A = `[(5 , 0),(0 , 5)]`.
APPEARS IN
संबंधित प्रश्न
if `A = [(3,5),(4,-2)] and B = [(2),(4)]`is the product AB possible? Give a reason. If yes, find AB
Given A = `[(0, 4, 6),(3, 0, -1)]` and B = `[(0, 1),(-1, 2),(-5, -6)]`, find if possible AB
Solve for x and y:
`[(2, 5),(5, 2)][(x),(y)] = [(-7),(14)]`
If A =` [(1,-2 ,1),(2,1,3)]and B=[(2,1),(3,2),(1,1)]`
would it be possible to form the product matrix BA? If so, compute BA; if not give a reason
why it is not possible.
Find the matrix A, If B =`[(2,1),(0,1)] and B^2 = B+1/2A`
`[(2sin 30° ,- 2 cos 60°),(- cot 45° , sin 90°)]`
`[(tan 45° , sec 60°),("cosec" 30° , cos 0°)]`
If A = `[(3 , 1),(-1 , 2)]` and B =`[(7),(0)]`, find matrix C if AC = B.
If P = `[(4, 6),(2 ,- 8)], "Q" = [(2, -3),(-1, 1)]` Find 2PQ
If A = `[(-1, 3),(2, 4)], "B" = [(2, -3),(-4, -6)]` find the matrix AB + BA
A = `[(1, 2),(3, 4)] and "B" = [(6, 1),(1, 1)], "C" = [(-2, -3),(0, 1)]` find each of the following and state if they are equal.CA + B
