Mathematics, 06.03.2020 23:43 ahluwaliariddh

A square matrix of order n , A = [ aij ], is called upper triangular if aij = 0 for i > j, that is, all entries below the main diagonal are zero. (Lower triangular matrices are defined similarly and enjoy the same properties you are showing below). If M and N are two upper triangular matrices of order 3, show that (a) MN is upper triangular (b) |M| is the product of its diagonal elements. Note that (a) and (b) hold for any n .

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A square matrix of order n , A = [ aij ], is called upper triangular if aij = 0 for i > j, that i...