Home
Class 12
MATHS
If A={:((4,2,-1),(3,-7,1))and B={:((2,3)...

If `A={:((4,2,-1),(3,-7,1))and B={:((2,3),(-3,0),(-1,5))`, find AB and BA.

Text Solution

Verified by Experts

The correct Answer is:
`AB={:((3,7),(26,14)):}`,`BA={:((17,-17,1),(-12,-6,3),(11,-37,6)):}`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find, where possible, A + B, A - B, AB and BA stating with reasons, where the operations are not pssible, when A={:[(4,2,-1),(3,-7,1)]:}and B={:[(2,3),(-3,0),(-1,5)]:}

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.

If A={:[(2,-1),(3,2)]:} and B={:[(0,4),(-1,7)]:}, find 3A^(2)-2B+I

If A={:[(0,2,3),(2,1,4)]andB={:[(7,6,3),(1,4,5)] , find 2A+3B.

If A=[(1,2,3),(2,3,1)] and B=[(3,-1,3),(-1,0,2)] , then find 2A-B .

If A={:[(-2,1,3),(0,4,-1)]and B={:[(2,1),(-3,0),(4,-5)], show that, (AB)' = B'A' where A' is the transpose of A.

If A={:((1,-3,4,2),(0,5,-2,3))and B=((-5,0,6,4),(7,8,-2,5)), find a matrix X of order 2xx4 such that 3A-2X=B.

If A=[(1,-2,3),(-4,2,5)] and B=[(2,3),(4,5),(2,1)] , then find AB, BA. Show that AB ne BA .

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