Every matrix equation AxDb corresponds to a vector equation with the same solution set. b. Any linear combination of vectors can always be written in the formAxfor a suitable matrixAand vectorx. c. The solution set of a linear system whose augmented matrix is Œa1 a2 a3 b is the same as the solution set ofAxDb, ifA D Œa1 a2 a3. d. If the equationAxDbis inconsistent, thenbis not in the set spanned by the columns ofA. e. If the augmented matrix Œ A b has a pivot position in every row, then the equationAxDbis inconsistent
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