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If X=[{:( 3,1,-1) ,(5,-2,-3) :}] "and" Y...

If `X=[{:( 3,1,-1) ,(5,-2,-3) :}] "and" Y= [{:( 2,1,-1),( 7,2,4):}]` then find
(i) x+y,
(ii) 2x-3y.
(iii) a matrix Z such that `X+Y+Z` is a zero matrix.

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Let's solve the problem step by step. Given matrices: \[ X = \begin{pmatrix} 3 & 1 & -1 \\ 5 & -2 & -3 \end{pmatrix} \] \[ Y = \begin{pmatrix} 2 & 1 & -1 \\ 7 & 2 & 4 \end{pmatrix} \] ### (i) Find \( X + Y \) ...
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