Mark each of the following statements true or false:
(a) Every orthonormal set of vectors is linearly independent.

(c) If A is a square matrix with orthonormal rows, then A is an orthogonal matrix.
(d) Every orthogonal matrix is invertible.
(e) If A is a matrix with det A = 1, then A is an orthogonal matrix.

(h) If A is a symmetric, orthogonal matrix, then A2 = I.
(i) Every orthogonally diagonalizable matrix is invertible.
(j) Given any n real numbers ‹‹1( ( ( ( ( ‹‹n, there exists a symmetric n ( n matrix with ‹‹1( ( ( ( ( ‹‹n as its eigenvalues.

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