Consider the systems of linear equations defined by augmented matrices P of the
Chapter 4, Problem 11(choose chapter or problem)
Consider the systems of linear equations defined by augmented matrices P of the following sizes. The ranks of the augmented matrix and matrix of coefficient Qare given in each case. Will the systems have a single, many, or no solutions ? (a) Pis 4 X 5. Rank(P) = 4, rank(Q) = 4. (b) Pis 3 X 4. Rank(P) = 3, rank(Q) = 2. (c) Pis 4 X 4. Rank(P) = 2, rank(Q) = 2. (d) Pis 5 X 5. Rank(P) = 4, rank(Q) = 3. (e) Pis 6 X 6. Rank(P) = 4, rank(Q) = 4. (f) Pis 7 X 4. Rank(P) = 3, rank(Q) = 3.
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