Do the columns of A span R4? Does the equation Ax = b have a 2 4 12 -8 3 12 -9 A= 1 3 10 - 7 2 -7 - 24 15

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.3: Spanning Sets And Linear Independence
Problem 42EQ
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Do the columns of A span R*? Does the equation Ax = b have a solution for each b in R*?
2
4.
12 -8
3
12 -9
A =
1
10 -7
-2 -7 -24 15
Do the columns of A span R*? 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
Transcribed Image Text:Do the columns of A span R*? Does the equation Ax = b have a solution for each b in R*? 2 4. 12 -8 3 12 -9 A = 1 10 -7 -2 -7 -24 15 Do the columns of A span R*? 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
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