tA= 10-3 04-4 - 28 2 and b = 4 -6 Denote the columns of A by a₁, a2, a3, and let W = Span {a₁, a₂, a3}.
tA= 10-3 04-4 - 28 2 and b = 4 -6 Denote the columns of A by a₁, a2, a3, and let W = Span {a₁, a₂, a3}.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text:b. Is b in W? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. No, b is not in W since b is not equal to a₁, a2, or a3.
B.
Yes, b is in W since, although b is not equal to a₁, a₂, or a3, it can be expressed as a linear combination of them. In particular, b =
(Simplify your answers.)
O C.
No, b is not in W since it cannot be generated by a linear combination of a₁, a₂,
and
O D.
Yes, b is in W since b=a
(Type a whole number.)
a3.
a₁
+
a2
+
аз.

Transcribed Image Text:10-3
4:48
Let A = 04-4 and b =
- 28 2
3
- 6
Denote the columns of A by a₁, a2, a3, and let W = Span {a₁, a₂, ª3}.
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