3 -1 Let u = 14| and A = -5 7 Is u in the plane in R³ spanned by the columns of A? Why or why not? 16 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.) O A. No, the reduced echelon form of the augmented matrix is ,which is an inconsistent system. B. Yes, multiplying A by the vector writes u as a linear combination of the columns of A.

3 -1 Let u = 14| and A = -5 7 Is u in the plane in R³ spanned by the columns of A? Why or why not? 16 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.) O A. No, the reduced echelon form of the augmented matrix is ,which is an inconsistent system. B. Yes, multiplying A by the vector writes u as a linear combination of the columns of A.

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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Question

3 -1
Let u = 14| and A = -5
7
Is u in the plane in R³ spanned by the columns of A? Why or why not?
16
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.)
O A. No, the reduced echelon form of the augmented matrix is
,which is an inconsistent system.
B. Yes, multiplying A by the vector
writes u as a linear combination of the columns of A.

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Can each vector in R* be written as a linear combination of the columns of the matrix A? Do the columns of A span R*? 3 1 7 - 12 - 1 - 1 A = - 4 - 2 2 0 - 10 20 0 2 - 1 Can each vector in R be written as a linear combination of the columns of the matrix A? Select the correct choice below and fill in the answer box to complete your choice, (Type an integer or decimal for each matrix element.) O A. No, because the reduced echelon form of A is O B. Yes, because the reduced echelon form of A is Help me solve this View an example Get more help - Clear all Check answer 82 9+ G 99+ W ENG DELL DII F3 prt sc F1 F4 FS beme end F7 F9 insert dele F10 F11 F12 %23 %2$ & 2 3 4 5 6 8
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USE LU FACTORIZATION (ROW OPERATION)