Recent content by LinAlgStudent

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    Engineering Deciding on major: Physics or Computer Engineering?

    I'm a student at UNC Chapel Hill in the Honors college and I think I could be a reasonably decent physicist. Physics in general interests me enough that I spent free time reading about it, particularly astrophysics. However, I'm also quite interested in finance and computer science, so I'm a bit...
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    Determining if a matrix is diagonalizable with explanation

    Provided that all the eigenvectors of A are zero vectors save for one of them which has only one nonzero entry, wouldn't that suggest that the eigenspace of A is only 1 dimensional? So, in order for A to be diagonalizable, the eigenspace would have to be of dimension 5, but it is of dimension 1...
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    Determining if a matrix is diagonalizable with explanation

    So I've found all eigenvalues to be equal to 2, the first eigenvector i think is: [1] [0] [0] [0] [0] and the other four all all 5x1 zero vectors. But what does that mean in the context of the question?
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    Determining if a matrix is diagonalizable with explanation

    it row reduces to the identity matrix. Is that indicative of anything specific?
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    Determining if a matrix is diagonalizable with explanation

    Homework Statement Determine if this matrix is diagonalizable and explain why or why not. [ 2 1 0 0 0 ] [ 0 2 1 0 0 ] [ 0 0 2 1 0 ] [ 0 0 0 2 1 ] [ 0 0 0 0 2 ] Homework Equations No equations provided and the use of a calculator will be prohibited on the test, so that's...