Consider this matrix. (a) Remove any dominated columns, and write the resulting matrix. (b) Remove any dominated rows from the matrix in part (a), and write the resulting matrix. (c) Remove any dominated columns from the matrix in part (b), and write the resulting matrix. (d) Remove any dominated rows from the matrix in part (c), and write the resulting matrix. Verify that the only entry left is the saddle point. 9 7 -5 3 6 5 0 5 8 - -5 -7 9

Advance Linear Algebra

Determine whether the statement below is true or false. Justify the answer. The equation Ax=b is consistent if the augmented matrix [a b] has a pivot position in every row. Choose the correct answer below. C A. This statement is false. The augmented matrix A b than rows. OB. This statement is true. The pivot positions in the augmented matrix [ A b] always occur in the columns that represent A. OC. This statement is true. If the augmented matrix [ A b] has a pivot position in every row, then the equation Ax=b has a solution for each b in R™. cannot have a pivot position in every row because it has more columns D. This statement is false. If the augmented matrix [ A b] has a pivot position in every row, the equation Ax = b may or may not be consistent. One pivot position may be in the column representing b.

Determine if the columns of the matrix form a linearly independent set. Justify your answer. 237] -1 1-1 05 5