(a) Prove that Hermitian, skew-Hermitian, and unitary matrices are normal. (b) Show that the following matrix...

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(a) Prove that Hermitian, skew-Hermitian, and unitary matrices are normal. (b) Show that the following matrix is Hermitian 5 A-(2-22+2) = 7 Note: Recall the definition: Hermitian means A = A*. (a) Prove that Hermitian, skew-Hermitian, and unitary matrices are normal. (b) Show that the following matrix is Hermitian 5 A-(2-22+2) = 7 Note: Recall the definition: Hermitian means A = A*.