SOLUTION: Suppose the system AX = B is consistent and A is a 6x3 matrix. Suppose the maximum number of linearly independent rows in A is 3. Discuss: Is the solution of the system unique?

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Question 1152414: Suppose the system AX = B is consistent and A is a 6x3
matrix. Suppose the maximum number of linearly independent
rows in A is 3. Discuss: Is the solution of the system unique?
Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.

The short answer is:  The solution of the system is not unique.

                      In opposite, there are INFINITELY MANY solutions.



Slightly more extended answer is: This theory is a Linear Algebra, very rich and profound theory.

                      It is presented in many University textbooks.

                      Do you expect I will re-tell them here for you ?