MATH 221 UPDATED Test Questions and CORRECT Answers
If A is an m × n matrix and if the equation Ax=b is inconsistent for some bb in Rm, then A cannot have a pivot position in every row.True If the equation Ax=b is inconsistent, then b is not in the set spanned by the columns of A.True If A is an m × n matrix whose columns do not span Rm, then the equation Ax=b is inconsistent for some b in Rm.True Any linear combination of vectors can always be written in the form Ax for a suitable matrix A and vector x.True The equation Ax=b is consistent if the augmented matrix [A b] has a pivot position in every row.false, the matrix A must have a pivot position in every row
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