RajdeepSingh7
- 9
- 0
Question :
Consider the following augmented matrix for a system of linear equations.
1 2 3 | 4
0 1 2 3 |
| 0 0 k − 1 0 |
0 0 0 | k^2−1
where k is some real number. For which values of k does the system have
(a) no solutions?
(b) infinitely many solutions?
(c) a unique solution?
[ Better version available here ---> http://imageshack.us/photo/my-images/839/screenshot20120416at636.png/ ]
Answer:
a) k is not equal to 1 or -1
b) k = 1
c) k =-1
Just wanted to see if I had it right, and had missed anything, as I had a bit of deliberation for the answers :)
Consider the following augmented matrix for a system of linear equations.
1 2 3 | 4
0 1 2 3 |
| 0 0 k − 1 0 |
0 0 0 | k^2−1
where k is some real number. For which values of k does the system have
(a) no solutions?
(b) infinitely many solutions?
(c) a unique solution?
[ Better version available here ---> http://imageshack.us/photo/my-images/839/screenshot20120416at636.png/ ]
Answer:
a) k is not equal to 1 or -1
b) k = 1
c) k =-1
Just wanted to see if I had it right, and had missed anything, as I had a bit of deliberation for the answers :)