Question: show that (a) The product of two diagonal matrices is diagonal (b) The transpose if a 4 x 4 lower triangular matrix is an upper

show that
(a) The product of two diagonal matrices is diagonal
(b) The transpose if a 4 x 4 lower triangular matrix is an upper triangular matrix.
Show that: (a) The product of two diagonal matrices is diagonal (b) The transpose of a 4 x 4 lower triangular matrix is an upper triangular matrix. Justify all your answers.
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