Question 1 (a) Let u, v and w be vectors in R³. The volume(u, v, w) is given by determinant of (u v w). Derive the volume(4u+v, u+2w, -3v+w) in terms of volume(u, v, w). (i) (ii) Hence, compute the volume(4u + v, u + 2w, –3v + w) when u = (2,1,1), v = (1,2,0) and w = (1,0,1).
Question 1 (a) Let u, v and w be vectors in R³. The volume(u, v, w) is given by determinant of (u v w). Derive the volume(4u+v, u+2w, -3v+w) in terms of volume(u, v, w). (i) (ii) Hence, compute the volume(4u + v, u + 2w, –3v + w) when u = (2,1,1), v = (1,2,0) and w = (1,0,1).
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 7AEXP
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