Find the matrix \(\mathbf{A}\) such that \(\mathbf{A} \mathbf{w} = \begin{pmatrix} 4 \\ 7 \\ -1 \end{pmatrix} \times \mathbf{w}\) for all vectors \(\mathbf{w}.\)
The matrix A is
\(\begin{pmatrix} 4 & 7 & -1 \\ 7 & -1 & 4 \\ -1 & 4 & 7 \end{pmatrix}\)
How are we to interpret
as a cross-product, as element by element multiplication or what?
Crossproduct. Im sorry that i didn't specify