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mr-feeno
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1.
1) Given 2x2 matrix A with A^t = A. How many linearly independent eigenvectors is A?
2) Is a square matrix with zero eigenvalue invertible?
2; When it comes to whether it is invertible; the det(A-λ* I) v = 0
where det (A-λ * I) v = 0 where λ = 0
We get Av = 0, where the eigenvector is zero. But this proves anything?
Or it is possible to prove that det(A) ≠ 0? I am not sure about how to prove it
I feel I lack some theory behind it all.
Im completely blank on the first, so thanks for all your help
1) Given 2x2 matrix A with A^t = A. How many linearly independent eigenvectors is A?
2) Is a square matrix with zero eigenvalue invertible?
2; When it comes to whether it is invertible; the det(A-λ* I) v = 0
where det (A-λ * I) v = 0 where λ = 0
We get Av = 0, where the eigenvector is zero. But this proves anything?
Or it is possible to prove that det(A) ≠ 0? I am not sure about how to prove it
I feel I lack some theory behind it all.
Im completely blank on the first, so thanks for all your help
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