Mark each statement True or False. Justify each answer. a. If BPD where and D is a diagonal​ matrix, then B is a symmetric matrix. b. An orthogonal matrix is orthogonally diagonalizable. c. The dimension of an eigenspace of a symmetric matrix equals the multiplicity of the corresponding eigenvalue. a. If BPD​, where and D is a diagonal​ matrix, then B is a symmetric matrix. A. The statement is false because DPB. B. The statement is true because PDB. C. The statement is false because DPB. D. The statement is true because PDB.