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Let b be the vector such that B = [A b] , and let a1, a2, a3 and a4 be the columns of A.
Let m be the number of linearly independent columns of A, let k be the number of parameters (free variables), and let n be the total number of columns in A. In our example above, n = 4.
Do you suppose that this relationship m + k = n will be true for all systems of linear equations?
Let m be the number of linearly independent columns of A, let k be the number of parameters (free variables), and let n be the total number of columns in A. In our example above, n = 4.
Do you suppose that this relationship m + k = n will be true for all systems of linear equations?