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-18 [] 12 Let u= 40 and A= 2-4 9 Is u in the plane in R³ spanned by the columns of A? Why or why not? -5 2 2 *** Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.) OA. Yes, multiplying A by the vector writes u as a linear combination of the columns of A. B. No, the reduced echelon form of the augmented matrix is which is an inconsistent system.

-18 [] 12 Let u= 40 and A= 2-4 9 Is u in the plane in R³ spanned by the columns of A? Why or why not? -5 2 2 *** Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.) OA. Yes, multiplying A by the vector writes u as a linear combination of the columns of A. B. No, the reduced echelon form of the augmented matrix is which is an inconsistent system.

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 u = - 18 40 and A= 12 2-4 -5 2 9 Is u in the plane in R³ spanned by the columns of A? Why or why not? 2 Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.) OA. Yes, multiplying A by the vector writes u as a linear combination of the columns of A. B. No, the reduced echelon form of the augmented matrix is, which is an inconsistent system.
Transcribed Image Text:Let u = - 18 40 and A= 12 2-4 -5 2 9 Is u in the plane in R³ spanned by the columns of A? Why or why not? 2 Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or decimal for each matrix element.) OA. Yes, multiplying A by the vector writes u as a linear combination of the columns of A. B. No, the reduced echelon form of the augmented matrix is, which is an inconsistent system.
b₁ and b = b₂ 4-2 b3 describe the set of all b for which Ax=b does have a solution. Let A = 1 -2 -1 -2 2 0 2 Show that the equation Ax=b does not have a solution for all possible b, and How can it be shown that the equation Ax=b does not have a solution for all possible b? Choose the correct answer below. OA. Find a vector b for which the solution to Ax=b is the zero vector. B. Find a vector x for which Ax=b is the zero vector. C. Row reduce the augmented matrix Ab ] to demonstrate that ] has a pivot position in every row. [Ab D. Row reduce the matrix A to demonstrate that A does not have a pivot position in every row. E. Row reduce the matrix A to demonstrate that A has a pivot position in every row.
Transcribed Image Text:b₁ and b = b₂ 4-2 b3 describe the set of all b for which Ax=b does have a solution. Let A = 1 -2 -1 -2 2 0 2 Show that the equation Ax=b does not have a solution for all possible b, and How can it be shown that the equation Ax=b does not have a solution for all possible b? Choose the correct answer below. OA. Find a vector b for which the solution to Ax=b is the zero vector. B. Find a vector x for which Ax=b is the zero vector. C. Row reduce the augmented matrix Ab ] to demonstrate that ] has a pivot position in every row. [Ab D. Row reduce the matrix A to demonstrate that A does not have a pivot position in every row. E. Row reduce the matrix A to demonstrate that A has a pivot position in every row.
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