If `A ,Ba n dC`three matrices of the same order, then prove that`A=B r – InterviewSolution

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1.	If `A ,Ba n dC`three matrices of the same order, then prove that`A=B rArr A+C=B+C`
Answer» Let `A, B and C` are `m xxn` order matrices such that, `A = [a_(ij)]_(mxxn)` `B = [b_(ij)]_(mxxn)` `C = [c_(ij)]_(mxxn)` It is given that , `A = B` `=> a_(ij) = b_(ij)` , `1 le i le m and 1 le j le n` `=> a_(ij) + c_(ij) = b_(ij) + c_(ij)` , ` 1 le i le m and 1 le j le n` `=>(A+C)_(ij) = (B+C)_(ij)` `=>A+C = B+C`

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