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Eigen Vectors

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MIRIYALA JEEVAN KUMA asked Oct 14, 2018
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number of linearly indendent eigen vectors
... I know it can be solved using #indpendent eigen vectors = n - rank(matrix) I want to now how the above formula derived !!
$\left. \begin{array} { l } { \text { If A is a skew-symmetric matrix of order n, then number of linearly } } \\ { \text { independent eigen vectors of } \left( \mathrm {...
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ankitgupta.1729 asked Dec 12, 2017
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Eigen Vectors
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kvkumar asked Jun 2, 2016
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eigen vectors
Let $\lambda_1, \lambda_2, \lambda_3$ denote the eigenvalues of the matrix $ A = \begin{pmatrix} 1 & 0 & 0 \\ 0 & \cos t & \sin t \\ 0 & -\sin t & \cos t \end{pmatrix}$. If $\lambda_1+ \lambda_2+\lambda_3=\sqrt{2} +1$ ... $\{ - \frac{\pi}{4}, \frac{\pi}{4} \}$ $\{ - \frac{\pi}{3}, \frac{\pi}{3} \}$
Let $\lambda_1, \lambda_2, \lambda_3$ denote the eigenvalues of the matrix $ A = \begin{pmatrix} 1 & 0 & 0 \\ 0 & \cos t & \sin t \\ 0 & -\sin t & \cos t \end{pmatrix...
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