Solutions Algebra

Suppose a mapping from R^2 to R^2 is defined by some 2x2 matrix W. Is the image of W spanned by the

Question: Suppose a mapping from ${{\mathbb{R}}^{2}}$ to ${{\mathbb{R}}^{2}}$ is defined by some 2x2 matrix W. Is the image of W spanned by the eigenvectors of W.

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