Assignment Problem Unsolved - Linear Algebra | MATH 2270, Assignments of Linear Algebra

Material Type: Assignment; Class: Linear Algebra; Subject: Mathematics; University: University of Utah; Term: Fall 2006;

Typology: Assignments

Pre 2010

Uploaded on 08/30/2009

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Warm-up
10/09/2006
Math 2270, Fall 2006
Problem:
Let Vbe the subspace of R4generated by the vectors:
~v1=
5
4
2
2
and ~v2=
3
6
7
2
.
(a) Find an orthonormal basis for V.
(b) Set B={~v1, ~v2}and let U={~u1,~u2}be the orthonormal basis found in part (a). Find the
matrix of transformation S=SB→U .

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Warm-up

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.