1 3 2 Let y = U2 and W = Span {u,,U2}. Complete parts (a) and (b). 3 --e- a. Let U = u, u2 . Compute u'U and UU'. u'u =and Uu' : .T % D (Simplify your answers.) b. Compute projwy and (uu')y. projwy =| and (uu') y= (Simplify your answers.) - |3 II II

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 29E
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3
+
Let y =
||
23
- 13
W|N
I
1
2
and W = Span {₁,₂}. Complete parts (a) and (b).
W|N
a.
· Let U= [u₁ u₂].
UTU = and UUT
U=
=
b. Compute projwy and (UU¹)y.
projwy =
and (UUT)y=
3
w|→
W|N
₁2]. Compute UTU and UUT.
(Simplify your answers.)
(Simplify your answers.)
Transcribed Image Text:3 + Let y = || 23 - 13 W|N I 1 2 and W = Span {₁,₂}. Complete parts (a) and (b). W|N a. · Let U= [u₁ u₂]. UTU = and UUT U= = b. Compute projwy and (UU¹)y. projwy = and (UUT)y= 3 w|→ W|N ₁2]. Compute UTU and UUT. (Simplify your answers.) (Simplify your answers.)
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