Home
Class 12
MATHS
If A={:[(1,2,1),(1,-1,1),(2,3,-1)]and B=...

If `A={:[(1,2,1),(1,-1,1),(2,3,-1)]and B={:[(1,4,0),(-1,2,2),(0,0,2)],` find the matrix AB - 2B.

Text Solution

Verified by Experts

The correct Answer is:
`{:[(-3,0,6),(4,-2,-4),(-1,14,0)]:}`
Promotional Banner

Similar Questions

Explore conceptually related problems

If A={:[(1,-2,2),(0,1,-1),(0,0,1)]:} and B={:[(1,2,0),(2,3,-1),(0,-1,-2)]:}, then show that, (A'B)A is a diagonal matrix.

If A={:[(0,1,2),(1,2,3),(3,1,1)]and B={:[(2,1,3),(-1,0,1),(3,-1,4)], show that, AB ne BA .

If A={:[(1,-1,0),(-1,2,1),(0,1,1)]and B ={:[(1,1,-1),(0,1,-1),(0,0,1)] show that B^(T)AB is a diagonal matrix, where B^(T) is the transpose of B.

If A={:[(1,1,-1),(2,-3,4),(3,-2,3)]and B={:[(-1,-1,1),(2,2,-2),(-3,-3,3)] , prove that ABne0 but BA = 0.

If [(2,-1),(1,0),(-3,4):}]xxP= [(-1,-8,-10),(1,-2,-5),(9,22,15):}] , find the matrix P.

If A={:[(2,-3),(0,1),(-1,4)],B={:[(-1,5),(2,-3),(0,1)],C={:[(4,-2),(0,-1),(3,5)], Find the matrices 2B - 3C

If A={:[(2,-3),(0,1),(-1,4)],B={:[(-1,5),(2,-3),(0,1)],C={:[(4,-2),(0,-1),(3,5)], Find the matrices A+2B

If A={:[(2,-3),(0,1),(-1,4)],B={:[(-1,5),(2,-3),(0,1)],C={:[(4,-2),(0,-1),(3,5)], Find the matrices A + 4B - 3C

If A={:[(2,-3),(0,1),(-1,4)],B={:[(-1,5),(2,-3),(0,1)],C={:[(4,-2),(0,-1),(3,5)], Find the matrices 4C - A

When are two matrices A and B said to be conformable for the product AB? If A={:((1,2,3),(1,3,3),(1,2,4))and B={:((6,-2,-3),(-1,1,0),(-1,0,1)) show that, AB = BA. Is it, in general, true for matrix multiplication? Give an example to justify your answer.