Denote the columns of A by a1, a2, a3, and let W = Span {a1, a2, a3}.

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Denote the columns of A by a1, a2, a3, and let W = Span {a1, a2, a3}.
Let
Denote the columns of A by a1, a2, a3, and

And

Denote the columns of A by a1, a2, a3, and

a. Is b in {a1, a2, a3}? How many vectors are in {a1, a2, a3}?
b. Is b in W? How many vectors are in W?
c. Show that a1 is in W. [Hint: Row operations are unnecessary.]

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