It can be proved that if a square matrix M is partitioned into block triangular form as

Chapter 2, Problem 32

(choose chapter or problem)

It can be proved that if a square matrix M is partitioned into block triangular form as M = A 0 C B or M = A C 0 B in which A and B are square, then det(M) = det(A) det(B). Use this result to compute the determinants of the matrices in Exercises 31 and 32.M = 120 0 0 012 0 0 001 0 0 000 1 2 200 0 1

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