5. Label the following statements as true or false. If true, justify the statement. If false, give a counterexample. (a) Any collection of five real numbers defines a unique vector in R5. (b) ( 1 2) and 1 are different ways to represent the same vector. (c) Let v E R". The Span(v) is a line through the origin.

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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5. Label the following statements as true or falsc. If true, justify the statement. If false, give a
counterexample.
(a) Any collection of five real numbers defines a unique vector in R5.
(b) ( 1 2 ) and
1
are different ways to represent the same vector.
(c) Let v E R". The Span(v) is a line through the origin.
Transcribed Image Text:5. Label the following statements as true or falsc. If true, justify the statement. If false, give a counterexample. (a) Any collection of five real numbers defines a unique vector in R5. (b) ( 1 2 ) and 1 are different ways to represent the same vector. (c) Let v E R". The Span(v) is a line through the origin.
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