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True False Problem Suppose a1, a2, and az are three different nonzero vectors. Mark the statement as "True" if the statement is always true. Otherwise, mark the statement as "False". a. Span{a1, a2} contains only the line through aị and the origin, and the line through the az and the origin. True b. The solution set of the linear system whose augmented matrix [a1 a2 the solution set of the equation az | 6| is the same as X1a1+ x2a2+ a3x3 = b. True c. Asking whether the linear system corresponding to an augmented matrix [a1 a2 amounts to asking whether b is in Span{a1, a2, az}. az | 6| has a solution False d. There are exactly three vectors in Span{a1, a2, a3}. False e. There are exactly three vectors in the set {a1, a2, a3}.

True False Problem Suppose a1, a2, and az are three different nonzero vectors. Mark the statement as "True" if the statement is always true. Otherwise, mark the statement as "False". a. Span{a1, a2} contains only the line through aị and the origin, and the line through the az and the origin. True b. The solution set of the linear system whose augmented matrix [a1 a2 the solution set of the equation az | 6| is the same as X1a1+ x2a2+ a3x3 = b. True c. Asking whether the linear system corresponding to an augmented matrix [a1 a2 amounts to asking whether b is in Span{a1, a2, az}. az | 6| has a solution False d. There are exactly three vectors in Span{a1, a2, a3}. False e. There are exactly three vectors in the set {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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True False Problem Suppose a1, a2, and az are three different nonzero vectors. Mark the statement as "True" if the statement is always true. Otherwise, mark the statement as "False". a. Span{a1, a2} contains only the line through aį and the origin, and the line through the az and the origin. True ear system whos az | b] is the same as b. The solution set of the augmented matrix [a1 the solution set of the equation a2 xja1+ x2a2+ a3x3 b. True c. Asking whether the linear system corresponding to an augmented matrix a1 amounts to asking whether b is in Span{a1, a2, a3}. a2 az | 6] has a solution False d. There are exactly three vectors in Span{a1, a2, a3}. False e. There are exactly three vectors in the set {a1, a2, a3}. True
Transcribed Image Text:True False Problem Suppose a1, a2, and az are three different nonzero vectors. Mark the statement as "True" if the statement is always true. Otherwise, mark the statement as "False". a. Span{a1, a2} contains only the line through aį and the origin, and the line through the az and the origin. True ear system whos az | b] is the same as b. The solution set of the augmented matrix [a1 the solution set of the equation a2 xja1+ x2a2+ a3x3 b. True c. Asking whether the linear system corresponding to an augmented matrix a1 amounts to asking whether b is in Span{a1, a2, a3}. a2 az | 6] has a solution False d. There are exactly three vectors in Span{a1, a2, a3}. False e. There are exactly three vectors in the set {a1, a2, a3}. True
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