Answer to Question #298061 in Linear Algebra for Pheeha

Question

1.Which of the following is the solution of the equation below?

0x + 0y = 0

1. (0,0,0).

2. (1,0,0).

3. No such solution exists

4. Infinitely many solution or (-1,2,1).

2. Consider the system of equations represented by the augmented matrix below.

2 2 2 10

2 0 -1 2

Which of the following is not a solution to this system?

1. (-1,2,4) or (1,1,0).

2. (1,0,0).

3. No solution exists.

4. Infinitely many solution or (-1,2,1).

3. Consider the system obtioned from the augmented matrix below.

a b c

d e f

Choose the correct statement (s):

1. The system has no solution if ae= bd.

2. The system has exactly one solution whenever ae≠ db.

3. The system is inconsistent for af≠ ab.

4. The system has infinitely many solution if b/e = c/f.

5. The system has no solution if ae= bf or impossible.