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If A=[{:(1,-3,2),(2," "0,2):}]" and "B=[...

If `A=[{:(1,-3,2),(2," "0,2):}]" and "B=[{:(2,-1,-1),(1," "0,-1):}]`, find a matrix C such that
`(A+B+C)` is a zero matrix.

Text Solution

AI Generated Solution

To find the matrix \( C \) such that \( A + B + C = 0 \), we can follow these steps: ### Step 1: Define the matrices Given: \[ A = \begin{pmatrix} 1 & -3 & 2 \\ 2 & 0 & 2 \end{pmatrix}, \quad B = \begin{pmatrix} 2 & -1 & -1 \\ 1 & 0 & -1 \end{pmatrix} \] ...
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