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1 of 8 0-day streak

Construct, apply and invert a permutation matrix

Question 1 of 8

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Apply \(V\) to the displayed vector

The row vector has entries in the order g, h. For a row vector, V acts on the right. The permutation array is [2, 1]: input positions move as follows: 1 to 2, 2 to 1

\[V = \begin{bmatrix} 0 & 1 \\ 1 & 0 \end{bmatrix}\]
\[\begin{bmatrix} g & h \end{bmatrix}V\]
(a)1 mark

Which vector is obtained when the stated action is applied to \(\begin{bmatrix} g & h \end{bmatrix}\)?

(b)1 mark

Select the order of the vector after the rearrangement