Proof strategy about a property of triangular matrices

136 Views Asked by At

Is it by mathematical induction the best way to prove that the determinant of an upper (lower) triangular matrix is the product of the elements of the main diagonal? Actually, I am wondering about which is the most intuitive strategy for proving this claim.

1

There are 1 best solutions below

2
On BEST ANSWER

I find induction and Laplace expansion on the first column or row to be the easiest way.