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For what values of x : [[1, 2, 1]][[1 ,2...

For what values of `x : [[1, 2, 1]][[1 ,2 ,0],[ 2, 0, 1],[ 1, 0, 2]][[0],[ 2],[x]]=O`?

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To solve the equation \(\begin{bmatrix} 1 & 2 & 1 \end{bmatrix} \begin{bmatrix} 1 & 2 & 0 \\ 2 & 0 & 1 \\ 1 & 0 & 2 \end{bmatrix} \begin{bmatrix} 0 \\ 2 \\ x \end{bmatrix} = \begin{bmatrix} 0 \end{bmatrix}\), we will follow these steps: ### Step 1: Multiply the first two matrices We start by multiplying the first matrix \(\begin{bmatrix} 1 & 2 & 1 \end{bmatrix}\) with the second matrix \(\begin{bmatrix} 1 & 2 & 0 \\ 2 & 0 & 1 \\ 1 & 0 & 2 \end{bmatrix}\). The multiplication is performed as follows: \[ ...
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