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Find X and Y, if(i) X+Y=[[7, 0],[ 2, 5]]...

Find X and Y, if(i) `X+Y=[[7, 0],[ 2, 5]]`and `X-Y=[[3, 0],[ 0 ,3]]`(ii) `2X+3Y=[[2, 3],[ 4, 0]]`and `3X+2Y=[[2,-2],[-1, 5]]`

Text Solution

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(i) `X+Y = [[7,0],[2,5]]->(1)`
`X-Y = [[3,0],[0,3]]->(2)`
Adding (1) and (2),
`=> 2X = [[10,0],[2,8]]`
`=>X = [[5,0],[1,4]]`
`:. Y = [[7,0],[2,5]] - [[5,0],[1,4]]`
`=> y = [[2,0],[1,1]]`

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