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.) 0-3 9 1 -7 4 - 4 -4 -2 2 OC. If A is the given matrix, then the augmented matrix form of this matrix indicates that Ax = 0 has more than independent set. -1 1 A. 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 form a linearly independent set. B. 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. represents the equation Ax = 0. The reduced echelon one solution. Therefore, the columns of A form a linearly D. 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.
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.) 0-3 9 1 -7 4 - 4 -4 -2 2 OC. If A is the given matrix, then the augmented matrix form of this matrix indicates that Ax = 0 has more than independent set. -1 1 A. 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 form a linearly independent set. B. 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. represents the equation Ax = 0. The reduced echelon one solution. Therefore, the columns of A form a linearly D. 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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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