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:
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:
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdef25b02-21c7-4f0b-87c4-78c9bf8df921%2Fc6f6a25c-893b-4ef6-bc1f-85adde51d4cd%2Fx9d2myl_processed.jpeg&w=3840&q=75)
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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