An orthogonal matrix is orthogonally diagonalizable

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Reference no: EM131074413

Mark each statement True or False. Justify each answer.

a. Every symmetric matrix is orthogonally diagonalizable.

b. If B = PDPT, where P T = P-1 and D is a diagonal matrix, then B is a symmetric matrix.

c. An orthogonal matrix is orthogonally diagonalizable.

d. The dimension of an eigenspace of a symmetric matrix equals the multiplicity of the corresponding eigenvalue.

Reference no: EM131074413

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