3. Show that the matrix
has no eigenvalues
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❥Any non-square matrix has no eigenvalue. ... The reason is as follows: Suppose that the matrix A satisfies: A x = c x, where c is a scalar and x is a column vector. Then from the validity of the product Ax, we see that the column vector x must have the same number of rows as the number of columns of A.
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the matrix could represent a rotation,and there is no eigenvalues coz no vector keep the sem direction
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