2. Verify that det(AB) = det(A)det(B) forthe following: -2 3 [1 0 2] a) A=-2 3 1 B= 3 -2 5| 1 2 1 3 Г2 3 [3 0 b) A= 0 3 2 B= 4 5 0 0 0 -4 2 1 -2 а 1 B b a 3. Show that = (b- a)(c- a)(b- c). This deteminant is called C Vandermonde determinant.
2. Verify that det(AB) = det(A)det(B) forthe following: -2 3 [1 0 2] a) A=-2 3 1 B= 3 -2 5| 1 2 1 3 Г2 3 [3 0 b) A= 0 3 2 B= 4 5 0 0 0 -4 2 1 -2 а 1 B b a 3. Show that = (b- a)(c- a)(b- c). This deteminant is called C Vandermonde determinant.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 19EQ
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