Question1 .Let A be an m x n matrix. Choose the statement below that is not corr

Question

Question1 .Let A be an m x n matrix. Choose the statement below that is not correct. To make sure that A an equation Ax b is consistent, verify that the last column B an equation Ax = 0 has only the trivial solution, verify that of the augmented matrix [A bl is not a pivot column. there are no free variables. an equation Ax-b has a solution for any b in Rm, verify that the matrix A has a pivot position in every row. a vector b can be written as a linear combination of the columns of A, verify that Ax ( D. b has a solution. E. a consistent system Ax b has a unique solution, verify that the homogeneous system Ax = 0 has a nontrivial solution

Explanation / Answer

Answer: (C) False

Reason. The system is inconsistent if [A b] has a pivot in the last ("b") column. The system is consistent if the matrix A has a pivot in every row.

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