# Study Guides for MATH225 at University of Alberta (U OF A)

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## Eigenvalues and Eigenvectors

36

1. 5. 2 changing basis to make a matrix diagonalizable . An eigenvector of an n n matrix a is a nonzero vector x such that for some scalar . A (possibl

View Document## Orthogonality in Vector Space: Notes Done in LaTeX

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1. 1. 2 length or norm, and unit vector . We can consider u rn as an n 1 matrix and hence ut will be a 1 n matrix u = ut =(cid:2) u1 u1 un. Note that u

View Document## Symmetric Matricies and Quadratic Forms: Notes Done in LaTeX

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This means that the entries on the opposite sides of the main diagonal of a are mutally equal. This is true only if m = n. so any symmetric matrix is a

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