augmented matrices

Question

Answer 1

a) The augmented matrix is

The number of variables is always the number of columns to the left of the augmentation bar .

There is no solution.

Second option is correct choice.

b) The augmented matrix is

4 the row of the matrix is zeros.

The system is inconsistent. There is no solution.

Second option is correct choice.

c)The augmented matrix is

Continuing to row reduce.

The system has unique solution

First option is correct choice.

d) The augmented matrix is

Bottom row of the matrix is zeros.

The system is inconsistent. There is no solution.

Second option is correct choice.

Comments

Isn't a) infinitely many solutions as column three will correspond to a free variable?