If a system Ax b has 3 times 4 augmented matrix Ab with ran

If a system Ax = b has 3 times 4 augmented matrix Ab with rank 3, then the system is necessarily consistent. TRUE or FALSE? If false, give counterexample (CE) (showing that the statement is false). Select one: a. FALSE b is not pivot column of Ab b. TRUE since Ab has pivot columns c. TRUE since b is a pivot column of Ab d. FALSE CE: x + y - z = 0, x + y + z = 0, x + y + z + 1 is inconsistent

Solution

Answer is we have 3x4 matrix neans

3equations with unknowns

Therefore system has

Unique solution