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Consider the following. 1 -8 4810 2 ,b= 1 -1 9 To determine whether b is in col(A), which of the following must be true? O The augmented matrix A is consistent as a linear system. O The augmented matrix [4]b] i is inconsistent as a linear system. O The matrix A = O The matrix row. Is b in col(A)? Yes No can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row. cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last

Consider the following. 1 -8 4810 2 ,b= 1 -1 9 To determine whether b is in col(A), which of the following must be true? O The augmented matrix A is consistent as a linear system. O The augmented matrix [4]b] i is inconsistent as a linear system. O The matrix A = O The matrix row. Is b in col(A)? Yes No can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row. cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.3: Matrix Algebra
Problem 85E: Determine if the statement is true or false. If the statement is false, then correct it and make it...
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Consider the following. A = 0 To determine whether b is in col(A), which of the following must be true? O The augmented matrix [4]b] Ab is consistent as a linear system. The augmented matrix O The matrix O The matrix row. Is b in col(A)? Yes No 1 1 -8 0 2 1 1 -1 9] Consider the following. The matrix row. The matrix A b can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row. b Is w in row(A)? Ⓒ Yes O No b = 1 1 -8 -#-+* A = 0 2 1 W = 2 4 -15 1 -1 9 To determine whether w is in row(A), which of the following must be true? O The augmented matrix [A]w ]i is consistent as a linear system. O The augmented matrix A W [4]b] A is inconsistent as a linear system. A cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last W is inconsistent as a linear system. can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row. cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last
Transcribed Image Text:Consider the following. A = 0 To determine whether b is in col(A), which of the following must be true? O The augmented matrix [4]b] Ab is consistent as a linear system. The augmented matrix O The matrix O The matrix row. Is b in col(A)? Yes No 1 1 -8 0 2 1 1 -1 9] Consider the following. The matrix row. The matrix A b can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row. b Is w in row(A)? Ⓒ Yes O No b = 1 1 -8 -#-+* A = 0 2 1 W = 2 4 -15 1 -1 9 To determine whether w is in row(A), which of the following must be true? O The augmented matrix [A]w ]i is consistent as a linear system. O The augmented matrix A W [4]b] A is inconsistent as a linear system. A cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last W is inconsistent as a linear system. can be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last row. cannot be row-reduced to a matrix whose last row is zero by operations excluding row interchanges involving the last
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