SOLUTION: State whether the following sets of data are possible for the matrix equation AX = B. If possible, describe the solution set. That is, tell whether there exists a unique solution,

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Question 990678: State whether the following sets of data are possible for the matrix
equation AX = B. If possible, describe the solution set. That is, tell whether there exists a unique solution, no solution or infinitely many solutions. Here, [A|B] denotes the augmented matrix.
A is a 5 × 5 matrix, rank (A) = 4 and rank [A|B] = 5.

Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
No solution.

It is because the matrix  A  is singular and its rank is less than the rank of the augmented matrix.