Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Determine if the columns of the matrix form a linearly independent set.
Justify your answer.
Select the correct choice below and fill in the answer box within your choice.
(Type an integer or simplified fraction for each matrix element.)
form of this matrix indicates that Ax = 0 has more than
independent set.
- 4
B. If A is the given matrix, then the augmented matrix
form of this matrix indicates that Ax = 0 has more than
linearly independent set.
O
1
2
- 3
- 1
1
1
OA. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon
one solution. Therefore, the columns of A form a linearly
0
5
-5
- 10
represents the equation Ax = 0. The reduced echelon
one solution. Therefore, the columns of A do not form a
represents the equation Ax = 0. The reduced echelon
C. If A is the given matrix, then the augmented matrix
form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore, the columns of A form a linearly
independent set.
D. If A is the given matrix, then the augmented matrix
represents the equation Ax = 0. The reduced echelon
expand button
Transcribed Image Text:Determine if the columns of the matrix form a linearly independent set. Justify your answer. Select the correct choice below and fill in the answer box within your choice. (Type an integer or simplified fraction for each matrix element.) form of this matrix indicates that Ax = 0 has more than independent set. - 4 B. If A is the given matrix, then the augmented matrix form of this matrix indicates that Ax = 0 has more than linearly independent set. O 1 2 - 3 - 1 1 1 OA. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon one solution. Therefore, the columns of A form a linearly 0 5 -5 - 10 represents the equation Ax = 0. The reduced echelon one solution. Therefore, the columns of A do not form a represents the equation Ax = 0. The reduced echelon C. If A is the given matrix, then the augmented matrix form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore, the columns of A form a linearly independent set. D. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon
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