Suppose A is an n × n invertible matrix. Which of the following statements is/are true?

A. The homogeneous system Ax = 0 has no solution.

B. The nonhomogeneous system Ax = b has a unique solution for each non-zero n × 1 vector b.

1. Only A 2. Only B 3. Both A and B
4. Neither A nor B.

Question

Suppose A is an n × n invertible matrix. Which of the following statements is/are true?


A. The homogeneous system Ax = 0 has no solution.

B. The nonhomogeneous system Ax = b has a unique solution for each non-zero n × 1 vector b.


1. Only A     2. Only B     3. Both A and B      
4. Neither A nor B.

anonymous · Answer

for A : Ax = 0 has a solution when x is a  n × 1 zero vector ...

only B

anonymous · Answer

is that right or i made a mistake?

anonymous · Answer

im still tryna figure it out, im not sure