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--- mvg:lecture_02:start [2018/11/19 12:33] – [Eigenvalue Problem] admin
+++ mvg:lecture_02:start [2020/02/04 15:12] (current) – [Eigenvalue Problem] admin
@@ Line 31: / Line 31: @@
 $A\mathbf{v} = \lambda \mathbf{v}$
-$(A-\lambda \unity) A = 0$
+$(A-\lambda \one) A = 0$
 $\left(A-\lambda \unity \right) A = 0$
 **Question:**
-If $P$ is invertible and $B = P^{-1}AP$ then $\sigma(A) = \sigma(B)$. Why?
+If $P$ is invertible and $B = P^{-1}AP \Rightarrow \sigma(A) = \sigma(B)$. Why?
+==== Symmetric Matrices ====
+Real matrix with real Eigenvalues is related to symmetric matrix.
+$S^T = S$
+Positive semidefinite: $x^TSx \ge 0$
+Positive definite: $x^TSx > 0$
 ==== Vector Spaces, Keywords ====