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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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4 Let v, and v3 Does (v1,V2,V3} span R°? Why or why not? ... Choose the correct answer below. A. Yes. When the given vectors are written as the columns of a matrix A, A has a pivot position in every row. В. No. The set of given vectors spans a plane in R°. Any of the three vectors can be written as a linear combination of the other two. C. Yes. Any vector in R° except the zero vector can be written as a linear combination of these three vectors. O D. No. When the given vectors are written as the columns of a matrix A, A has a pivot position in only two rows.
Transcribed Image Text:4 Let v, and v3 Does (v1,V2,V3} span R°? Why or why not? ... Choose the correct answer below. A. Yes. When the given vectors are written as the columns of a matrix A, A has a pivot position in every row. В. No. The set of given vectors spans a plane in R°. Any of the three vectors can be written as a linear combination of the other two. C. Yes. Any vector in R° except the zero vector can be written as a linear combination of these three vectors. O D. No. When the given vectors are written as the columns of a matrix A, A has a pivot position in only two rows.
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