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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.) OB. IfA is the given matrix, then the augmented matrix solution. Therefore, the columns of A form a linearly 0-8 16 3 1 -14 5 -7 1 -5 -2 OA. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has more than one solution. Therefore, the columns of A do not form a linearly independent set. OC. If A is the given matrix, then the augmented matrix solution. Therefore, the columns of A form a linearly -1 represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial independent set. represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has more than one independent set. OD. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore, the columns of A do not form a linearly independent set.

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.) OB. IfA is the given matrix, then the augmented matrix solution. Therefore, the columns of A form a linearly 0-8 16 3 1 -14 5 -7 1 -5 -2 OA. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has more than one solution. Therefore, the columns of A do not form a linearly independent set. OC. If A is the given matrix, then the augmented matrix solution. Therefore, the columns of A form a linearly -1 represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial independent set. represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has more than one independent set. OD. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore, the columns of A do not form a linearly independent set.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 1T
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Determine if the columns of the matrix form a linearly independent set. Justify your answer. C 0-8 16 3 1 -14 - 1 5 - 7 1 -5 -2 Select the correct choice below and fill in the answer box within your choice. (Type an integer or simplified fraction for each matrix element.) OA. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has more than one solution. Therefore, the columns of A do not form a linearly independent set. O B. If A is the given matrix, then the augmented matrix solution. Therefore, the columns of A form a linearly represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial independent set. represents the equation Ax=0. The reduced echelon form of this matrix indicates that Ax = 0 has more than one independent set. O C. IfA is the given matrix, then the augmented matrix solution. Therefore, the columns of A form a linearly OD. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore, the columns of A do not form a linearly independent set.
Transcribed Image Text:Determine if the columns of the matrix form a linearly independent set. Justify your answer. C 0-8 16 3 1 -14 - 1 5 - 7 1 -5 -2 Select the correct choice below and fill in the answer box within your choice. (Type an integer or simplified fraction for each matrix element.) OA. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has more than one solution. Therefore, the columns of A do not form a linearly independent set. O B. If A is the given matrix, then the augmented matrix solution. Therefore, the columns of A form a linearly represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial independent set. represents the equation Ax=0. The reduced echelon form of this matrix indicates that Ax = 0 has more than one independent set. O C. IfA is the given matrix, then the augmented matrix solution. Therefore, the columns of A form a linearly OD. If A is the given matrix, then the augmented matrix represents the equation Ax = 0. The reduced echelon form of this matrix indicates that Ax = 0 has only the trivial solution. Therefore, the columns of A do not form a linearly independent set.
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