1) Let W = la + 2b + 1c + 8d la + 3b + 2c + 10d 3a +10b+7c+32d 2a + 8b+ 6c + 24d -5a + (-13) b + (-8) c + (-46) d] Then a basis for W would be: a b 2) Let W = C : -6a-6b-5c+ d = 0 and 9a+10b+9c+ (-2) d + e = 0. -HE d e Then a basis for W would be:

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 41E
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1) Let W:
=
3a +10b+ 7c+32d
2a + 8b+ 6c +24d
-5a + (-13) b + (-8) c + (-46) d]
la + 2b + 1c + 8d
la + 3b + 2c + 10d
Then a basis for W would be:
a
b
-
2) Let W = C : -6a-6b-5c+ d = 0 and 9a+10b+9c+ (-2) d + e = 0.
d
e
Then a basis for W would be:
Transcribed Image Text:1) Let W: = 3a +10b+ 7c+32d 2a + 8b+ 6c +24d -5a + (-13) b + (-8) c + (-46) d] la + 2b + 1c + 8d la + 3b + 2c + 10d Then a basis for W would be: a b - 2) Let W = C : -6a-6b-5c+ d = 0 and 9a+10b+9c+ (-2) d + e = 0. d e Then a basis for W would be:
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