Show by direct expansion that |2 = 1. For simplicity, take A to be a two- dimensional orthogonal transformation matrix.
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- P and Q are two Hermitian matrices and there exists a matrix R, which diagonalizes -1 both of them, such that RPR = S, and RQR = S, , where S, and S, are diagonal matrices. The correct statement(s) is (are) (a) All the elements of both matrices S, and S, are real (b) The matrix PQ can have complex eigenvalues. (c) The matrix QP can have complex eigenvalues. (d) The matrices P and Q commutewithout a calculator ,please solve for x by hand. Need to show every step!You have two vectors A(t) and B(t). Prove the following: