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Find AB and BA if exists from the follo...

Find AB and BA if exists from the following matrices A and B:
`(i) A=[{:(2,3,-1),(0,1,2):}]and B=[{:(2,-6),(-4,0):}]`
(ii) `A=[{:(1,2,3),(0,1,-2),(-1,0,-1):}]and B=[{:(0,0,2),(2,0,0),(0,2,0):}]`
`(iii) A=[{:(0,3,4),(2,1,-2),(1,-3,-1):}]and B=[{:(2,1,3),(-1,0,-2):}]`

Text Solution

Verified by Experts

The correct Answer is:
`(i) "AB does not exist",`
`BA=[{:(4,0,-14),(-8,-12,4):}]`
`(ii)AB=[{:(4,-6,2),(2,-4,0),(0,-2,-2):}],BA=[{:(-2,0,-2),(2,4,-6),(0,2,-4):}]`
(iii)AB does not exist ,
`BA=[{:(5,-2,3),(-2,3,-2):}]`
N/a
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