The following matrix is a reduced augmented matrix obtained from a system of equation.

Question

1  0  3  2

0  1  1  4

The number of solutions of the system is

a.)none

b.)one

c.)infinite

Answer 1

From the given matrix, corresponds to the system is

x + 3z = 2

y + z = 4

Letting z=t, we find that y=4 -t  and x =2−3t.

Thus, the system has infinitely many solutions, parametrized for all t.

So option C is correct.