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If A = [[1,2],[3,-5]] and B=[[1,0],[0,2]...

If `A = [[1,2],[3,-5]]` and `B=[[1,0],[0,2]]` and X is a matrix such that `A=BX`, then X=

Text Solution

Verified by Experts

The correct Answer is:
`X=1/2 [(2,4),(3,-5)]`
Let `X=[(a,b),(c,d)]`
then `[(1,2),(3,-5)]=[(1,0),(0,2)][(a,b),(c,d)]=[(a,b),(2c,2d)]`
`:. a=1, b=2, 2c=3, 2d=-5`
`:. X=[(1,2),(3//2,-5//2)]=1/2 [(2,4),(3,-5)]`
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