If (mathbf{A}) is (m times m) and symmetric, and (mathbf{B}) is a general (m times n) matrix,
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If \(\mathbf{A}\) is \(m \times m\) and symmetric, and \(\mathbf{B}\) is a general \(m \times n\) matrix, show that \(\mathbf{B}^{T} \mathbf{A} \mathbf{B}\) is \(n \times n\) and symmetric.
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Since mathbfA is m times m and symmetric we know that mathbfAT mathbfA Now conside...View the full answer
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Related Book For
Modeling And Analysis Of Dynamic Systems
ISBN: 9781138726420
3rd Edition
Authors: Ramin S. Esfandiari, Bei Lu
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