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Let V₁ = 0 0 V₂ = 0 -4 -9 and V3 = Choose the correct answer below. 7 6 Does (V₁ V2 V3} span R³? Why or why not? OA. No. The set of given vectors spans a plane in R³. Any of the three vectors can be written as a linear combination of the other two. B. No. When the given vectors are written as the columns of a matrix A, A has a pivot position in only two rows. OC. Yes. When the given vectors are written as the columns of a matrix A, A has a pivot position in every row. OD. Yes. Any vector in R³ except the zero vector can be written as a linear combination of these three vectors.

Let V₁ = 0 0 V₂ = 0 -4 -9 and V3 = Choose the correct answer below. 7 6 Does (V₁ V2 V3} span R³? Why or why not? OA. No. The set of given vectors spans a plane in R³. Any of the three vectors can be written as a linear combination of the other two. B. No. When the given vectors are written as the columns of a matrix A, A has a pivot position in only two rows. OC. Yes. When the given vectors are written as the columns of a matrix A, A has a pivot position in every row. OD. Yes. Any vector in R³ except the zero vector can be written as a linear combination of these three vectors.

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 v₁ = 0 V₂ = and V3 = Choose the correct answer below. - 1 6 Does {V₁, V2, V3} span R³? Why or why not? C O A. No. The set of given vectors spans a plane in R³. Any of the three vectors can be written as a linear combination of the other two. O B. No. When the given vectors are written as the columns of a matrix A, A has a pivot position in only two rows. O C. Yes. When the given vectors are written as the columns of a matrix A, A has a pivot position in every row. O D. Yes. Any vector in R³ except the zero vector can be written as a linear combination of these three vectors.
Transcribed Image Text:Let v₁ = 0 V₂ = and V3 = Choose the correct answer below. - 1 6 Does {V₁, V2, V3} span R³? Why or why not? C O A. No. The set of given vectors spans a plane in R³. Any of the three vectors can be written as a linear combination of the other two. O B. No. When the given vectors are written as the columns of a matrix A, A has a pivot position in only two rows. O C. Yes. When the given vectors are written as the columns of a matrix A, A has a pivot position in every row. O D. Yes. Any vector in R³ except the zero vector can be written as a linear combination of these three vectors.
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