Question

Determine if b is a linear combination of the vectors formed from the columns of the matrix A. A = [ 1 -3 -2; 0 4 3; 3 -9 5 ], b = [ 12; -5; 8 ] Choose the correct answer below. A. Vector b is not a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are only in the first entry in the first column and the second entry in the second column. There are no pivots in the third and fourth columns. B. Vector b is a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are in the first entry in the first column and the second entry in the second column. There are no pivots in the third and fourth columns. C. Vector b is a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the third column. D. Vector b is not a linear combination of the vectors formed from the columns of the matrix A. There is no solution to the linear system corresponding to the matrix [ A b ].

          Determine if b is a linear combination of the vectors formed from the columns of the matrix A. A = [ 1 -3 -2; 0 4 3; 3 -9 5 ], b = [ 12; -5; 8 ]
Choose the correct answer below.
A. Vector b is not a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are only in the first entry in the first column and the second entry in the second column. There are no pivots in the third and fourth columns.
B. Vector b is a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are in the first entry in the first column and the second entry in the second column. There are no pivots in the third and fourth columns.
C. Vector b is a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the third column.
D. Vector b is not a linear combination of the vectors formed from the columns of the matrix A. There is no solution to the linear system corresponding to the matrix [ A b ].

Determine if b is a linear combination of the vectors formed from the columns of the matrix A. A = [ 1 -3 -2; 0 4 3; 3 -9 5 ], b = [ 12; -5; 8 ]
Choose the correct answer below.
A. Vector b is not a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are only in the first entry in the first column and the second entry in the second column. There are no pivots in the third and fourth columns.
B. Vector b is a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are in the first entry in the first column and the second entry in the second column. There are no pivots in the third and fourth columns.
C. Vector b is a linear combination of the vectors formed from the columns of the matrix A. The pivots in the corresponding echelon matrix are in the first entry in the first column, the second entry in the second column, and the third entry in the third column.
D. Vector b is not a linear combination of the vectors formed from the columns of the matrix A. There is no solution to the linear system corresponding to the matrix [ A b ].

Added by Louis E.

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