True or False

Question

True or false: If AX = B is a system of n linear equations in n unknowns and A^-1 does not exist, then AX = B does not have a unique solution.

 

If you think the statement is true, then show that it is true. On the other hand, if you think the statement is false, then give an example that disproves the statement

Answer 1

Ax=B is equivalent to x = A^-1×B . If A inverse does not exist, then neither does the solution, X, exist. It's that simple.