1 of 8 0-day streak

Construct, apply and invert a permutation matrix

Question 1 of 8

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Apply \(W\) to the displayed vector

The column vector has entries in the order x, y. For a column vector, W acts on the left. The permutation array is [2, 1]: output position 1 receives input position 2; output position 2 receives input position 1

W = \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}

W\begin{bmatrix} x \\ y \end{bmatrix}