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Let V₁ BH -3 0 -3 6 and V3 Choose the correct answer below. 3 -4 9 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 OB. Yes. Any vector in R³ except the zero vector can be written as a linear combination of these three vectors. C. Yes. When the given vectors are written as the columns of a matrix A, A has a pivot position in every row. D. No. When the given vectors are written as the columns of a matrix A, A has a pivot position in only two rows. wrth

Let V₁ BH -3 0 -3 6 and V3 Choose the correct answer below. 3 -4 9 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 OB. Yes. Any vector in R³ except the zero vector can be written as a linear combination of these three vectors. C. Yes. When the given vectors are written as the columns of a matrix A, A has a pivot position in every row. D. No. When the given vectors are written as the columns of a matrix A, A has a pivot position in only two rows. wrth

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 0 -3 O 0 - 3 6 and V3 Choose the correct answer below. 3 -4 -9 Does (V₁ V₂ V3} span R³? Why or why not? 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. B. Yes. Any vector in R³ except the zero vector can be written as a linear combination of these three vectors. C. Yes. When the given vectors are written as the columns of a matrix A, A has a pivot position in every row. D. No. When the given vectors are written as the columns of a matrix A, A has a pivot position in only two rows. wrth g
Transcribed Image Text:Let v₁ = 0 0 -3 O 0 - 3 6 and V3 Choose the correct answer below. 3 -4 -9 Does (V₁ V₂ V3} span R³? Why or why not? 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. B. Yes. Any vector in R³ except the zero vector can be written as a linear combination of these three vectors. C. Yes. When the given vectors are written as the columns of a matrix A, A has a pivot position in every row. D. No. When the given vectors are written as the columns of a matrix A, A has a pivot position in only two rows. wrth g
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