In Exercises 19–22, verify that (u X v) •w = (v × w)•u = (w X u)•v and find the volume of the parallelepiped (box) deter- mined by u, v, and w. u 19. 2i 2j 2k 20. i – j + k 2i + j – 2k -i + 2j - k 21. 2i + j i + 2k 2i – j + k -i - k 22. i + j – 2k 2i + 4j – 2k
In Exercises 19–22, verify that (u X v) •w = (v × w)•u = (w X u)•v and find the volume of the parallelepiped (box) deter- mined by u, v, and w. u 19. 2i 2j 2k 20. i – j + k 2i + j – 2k -i + 2j - k 21. 2i + j i + 2k 2i – j + k -i - k 22. i + j – 2k 2i + 4j – 2k
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.4: Linear Transformations
Problem 3EQ: In Exercises 1-12, determine whether T is a linear transformation. T:MnnMnn defines by T(A)=AB,...
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