- #1

mr_coffee

- 1,629

- 1

The reduced row-echelon forms of the augmented matrices of four systems are given below. How many solutions does each system have?

Here is the matrices:

1 0 -12 0

0 1 0 0

0 0 0 1

0 0 0 0

A. Infinitely many solutions

B. No solutions

C. Unique solution

D. None of the above

I said No solutions because 0 does not equal 1

0 1 0 -15

0 0 1 7

A. No solutions

B. Unique solution

C. Infinitely many solutions

D. None of the above

I said Unqiue solution because y = 1, z = 7.

1 0 0 8

0 0 1 0

A. Unique solution

B. Infinitely many solutions

C. No solutions

D. None of the above

I said unique solution because, y = 8, and z = 0;

1 0 11

0 1 9

0 0 0

A. Unique solution

B. No solutions

C. Infinitely many solutions

D. None of the above

I said Infinitely many solutions because you have a line of 0 0 0.

NOw i submitted the answer but it said at least 1 is wrong, so i don't know iif they are all wrong or just 1 of them, any help would be great.