Let A be а 3 x 3 mаtrix with twо pivоt pоsitions. Choose the best аnswer from the options given to answer the question. Does the equation have a nontrivial solution? A) No. Since A has two pivots, there are no free variables. Therefore has only the trivial solution. B) Yes. Since A has two pivots, there is one free variable. This means that has only one solution where . C) No. If there are no free variables given the size of the matrix then there is only the trivial solution. D) Yes. There will be one free variable since A has two pivots. This means will have a nontrivial solution. Of the choices, [1] is the most appropriate.