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Rank of a Matrix and Existence of a Unique Solution to an Eq

Date Submitted: 07/27/2003 07:22:27
Category: / Literature / English
Length: 1 pages (226 words)
Views: 135397

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…the columns of A with the solutions as the weights. Suppose that you formed an augmented matrix B by taking the three columns of A and as the fourth column, i.e. B = . What would be the rank of B, i.e. the maximum number of linearly independent columns in B? We hope you answered 3. Can you now see that an equations system Ax = b has a solution only if rank(A) = rank(A,b)?

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