推 ntust661 :2.λ=2的代數重數 =\= 幾何重數會有問題@@? 08/14 20:55
1. There exists a square matrix with no eigenvectors
False
2
2. Let A be a 3*3 matrix with characteristic equation (λ+1)(λ-2) = 0
Then dimensions for the eigenspaces of A corresponding to the eigenvalues
λ = -1 and λ=2 are 1 and 2, respectively
False
3. If B is an n*n matrix such that AB is invertible, then both A and B are
invertible
True
請問這些是為什麼?
謝謝
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