What is the strongest statement you can make about the number of free variables in a 4×6 coefficient matrix, when row-reduced?
The number of free variables must be either: a. exactly _____
b. at most _____
c. at least ______
A "4x6 coefficient matrix" is equivalent to 4 equations in 6 unknowns. If the equations are independent then we could solve for 4 of the unknowns in terms of the other two so the number of free variables is 2. What if they are NOT independent?
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