Solution Found!
Let V and W be subspaces of Rn with V W = {0}. Let S = projV and T = projW. Show that ST
Chapter 4, Problem 19(choose chapter or problem)
QUESTION:
Let V and W be subspaces of with . Let and . Show that if and only if V and W are orthogonal subspaces.
Questions & Answers
QUESTION:
Let V and W be subspaces of with . Let and . Show that if and only if V and W are orthogonal subspaces.
ANSWER:
Step 1 of 3
It is given that and are the subspaces of with,
.
Also,
, .
Then for, ,
Also,
To show that if and only if and are orthogonal subspaces.