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Material Type: Assignment; Class: Linear Algebra; Subject: Mathematics; University: University of Utah; Term: Fall 2006;
Typology: Assignments
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Math 2270, Fall 2006
Problem:
Let V be the subspace of R
4 generated by the vectors:
~v 1 =
and ~v 2 =
(a) Find an orthonormal basis for V.
(b) Set B = {~v 1 , ~v 2 } and let U = {~u 1 , ~u 2 } be the orthonormal basis found in part (a). Find the
matrix of transformation S = SB→U.