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Find the matrix \(\mathbf{A}\) such that \(\mathbf{A} \mathbf{w} = \begin{pmatrix} 4 \\ 7 \\ -1 \end{pmatrix} \times \mathbf{w}\) for all vectors \(\mathbf{w}.\)

 Jun 22, 2020
 #1
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The matrix A is

 

\(\begin{pmatrix} 4 & 7 & -1 \\ 7 & -1 & 4 \\ -1 & 4 & 7 \end{pmatrix}\)

 Jun 22, 2020
 #2
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How are we to interpret 


as a cross-product, as element by element multiplication or what?


 Jun 22, 2020
 #3
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Crossproduct. Im sorry that i didn't specify

SomeNewUser276  Jun 24, 2020

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