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tA= -63 0 and b = 4 3 1 6 -27. . Denote the columns of A by a1, a2, a3. Is b in {a₁, a2, a3}? [Select an answer How many vectors are in {a₁, a2, a3}? (Enter ∞o for infinitely many.) s b in Span{a₁, a2, a3}? Select an answer If b is in Span{a₁, a2, a3}, write as a linear combination of a₁, a2, a3. Don't write anything if I not in Span{a₁, a2, a3}.

tA= -63 0 and b = 4 3 1 6 -27. . Denote the columns of A by a1, a2, a3. Is b in {a₁, a2, a3}? [Select an answer How many vectors are in {a₁, a2, a3}? (Enter ∞o for infinitely many.) s b in Span{a₁, a2, a3}? Select an answer If b is in Span{a₁, a2, a3}, write as a linear combination of a₁, a2, a3. Don't write anything if I not in Span{a₁, a2, a3}.

Advanced Engineering Mathematics
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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Let A = b 6 3 -6 3 0 4 3 1 and b = a₁+ a3= a. Is b in {a₁, a2, a3}? [Select an answer b. How many vectors are in {a₁, a2, a3}? (Enter o for infinitely many.) c. Is b in Span{a₁, a2, a3}? Select an answer d. If b is in Span{a₁, a2, a3}, write b as a linear combination of a₁, a2, a3. Don't write anything if b is not in Span{a₁, a2, a3}. a₂+ -27 -27 a₂+ a3 e. How many vectors are in Span{a₁, a2, a3}? (Enter ∞o for infinitely many.) . Denote the columns of A by a₁1, a2, a3. f. Show that az is in Span{a1, a2, a3} by writing a3 as a linear combination of a1, a2, a3. a₁+ a3
Transcribed Image Text:Let A = b 6 3 -6 3 0 4 3 1 and b = a₁+ a3= a. Is b in {a₁, a2, a3}? [Select an answer b. How many vectors are in {a₁, a2, a3}? (Enter o for infinitely many.) c. Is b in Span{a₁, a2, a3}? Select an answer d. If b is in Span{a₁, a2, a3}, write b as a linear combination of a₁, a2, a3. Don't write anything if b is not in Span{a₁, a2, a3}. a₂+ -27 -27 a₂+ a3 e. How many vectors are in Span{a₁, a2, a3}? (Enter ∞o for infinitely many.) . Denote the columns of A by a₁1, a2, a3. f. Show that az is in Span{a1, a2, a3} by writing a3 as a linear combination of a1, a2, a3. a₁+ a3
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