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

If `A=[[1,2,-3] , [5,0,2] , [1,-1,1]]` and `B=[[3,-1,2] , [4,2,5] , [2,0,3]]` then find matrix C such that `A+2C=B`

Text Solution

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`2c=B-A=[{:(3,-1,2),(4,2,5),(2,0,3):}]-[{:(1,2,-3),(5,0,2),(1,-1,1):}]`
`=[{:(3-1,-1-2,2+3),(4-5,2-0,5-2),(2-1,0+1,3-1):}]`
`2C=[{:(2,-3,5),(-1,2,3),(1,1,2):}] rArrC=(1)/(2)[{:(2,-3,5),(-1,2,3),(1,1,1):}]`
`=[{:(1,-3//2,5//2),(-1//2,1,3//2),(1//2,1//2,1):}]`
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