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3 Consider the following matrix A 1 0 1 0 a Calculate all of the eigenvalues of A b For each eigenvalue of A found
3 Consider the following matrix A 1 0 1 0 a Calculate all of the eigenvalues of A b For each eigenvalue of A found in a find a basis for the corresponding eigenspace c Determine whether the collection of all basis vectors found in b is linearly depend or linearly independent d Is the matrix A diagonalizable Explain why or why not
3 Consider the following matrix A 1 0 1 0 a Calculate all of the eigenvalues of A b For each eigenvalue of A found in a find a basis for the corresponding eigenspace c Determine whether the collection of all basis vectors found in b is linearly depend or linearly independent d Is the matrix A diagonalizable Explain why or why not
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