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  3. suppose a is a 5x7 matrix how many pivot columns...

Question: suppose a is a 5x7 matrix how many pivot columns...

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Suppose A is a 5x7 matrix. How many pivot columns must A have if its columns span R5? Why? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The matrix must have pivot columns. If A had fewer pivot columns, then the equation Ax 0 would have only the trivial O B. The matrix must have pivot columns. Otherwise, the equation Ax 0 would have a free variable, in which case the ° C. The matrix must have pivot columns. The statements A has a pivot position in every row and the columns of A span solution columns of A would not span R5 R5 are logically equivalent. dependent. D. The columns of a 5x7 matrix cannot span R5 because having more columns than rows makes the columns of the matrix

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