Determine if the columns of the matrix form a linearly independent set. Justify your answer. Select...

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.) OA. If A is the given matrix, then the augmented matrix form of this matrix indicates that Ax=0 has only the linearly independent set. OB If A is the given matrix, then the augmented matrix form of this matrix indicates that Ax = 0 has more than linearly independent set. -2 -1 1 1 1 OC. If A is the given matrix, then the augmented matrix form of this matrix indicates that Ax = 0 has more than linearly independent set. 1 2 represents the equation Ax=0. The reduced echelon trivial solution. Therefore, the columns of A do not form a 0 4 - 8 - 16 represents the equation Ax=0. The reduced echelon one solution. Therefore, the columns of A form a represents the equation Ax=0. The reduced echelon one solution. Therefore, the columns of A do not form a 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 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.) OA. If A is the given matrix, then the augmented matrix form of this matrix indicates that Ax=0 has only the linearly independent set. OB If A is the given matrix, then the augmented matrix form of this matrix indicates that Ax = 0 has more than linearly independent set. -2 -1 1 1 1 OC. If A is the given matrix, then the augmented matrix form of this matrix indicates that Ax = 0 has more than linearly independent set. 1 2 represents the equation Ax=0. The reduced echelon trivial solution. Therefore, the columns of A do not form a 0 4 - 8 - 16 represents the equation Ax=0. The reduced echelon one solution. Therefore, the columns of A form a represents the equation Ax=0. The reduced echelon one solution. Therefore, the columns of A do not form a 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 form a linearly independent set.

Answer rating: 100% (QA)

Label the columns of the matrix as a a and a For CC C3 ... View the full answer