Consider a system of equations whose augmented matrix reduces to 1 2 0 k² - 64 k 2 k-6 -16 0 - 0 k 1 k²-1k Which values of / do you have to consider separately? k = = (Give your answer as a comma separated list, for example: a, b, ...) For which values of is the system inconsistent? k = = (Give your answer as a comma separated list, for example: a, b, ...) For which values of does the system have a unique solution? ke (Give your answer in interval notation, for example: [a,b) U (c,d]. If needed enter -∞ as - infinity and ∞ as infinity.) For which values of / does the system have infinitely many solutions? k = = (Give your answer as a comma separated list, for example: a, b, ...)
Consider a system of equations whose augmented matrix reduces to 1 2 0 k² - 64 k 2 k-6 -16 0 - 0 k 1 k²-1k Which values of / do you have to consider separately? k = = (Give your answer as a comma separated list, for example: a, b, ...) For which values of is the system inconsistent? k = = (Give your answer as a comma separated list, for example: a, b, ...) For which values of does the system have a unique solution? ke (Give your answer in interval notation, for example: [a,b) U (c,d]. If needed enter -∞ as - infinity and ∞ as infinity.) For which values of / does the system have infinitely many solutions? k = = (Give your answer as a comma separated list, for example: a, b, ...)
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 14CT
Question
100%
![Consider a system of equations whose augmented matrix reduces to
1
2
0 k² - 64
k
2
k-6
-16
0
-
0 k 1 k²-1k
Which values of / do you have to consider separately?
k =
=
(Give your answer as a comma separated list, for example: a, b, ...)
For which values of is the system inconsistent?
k =
=
(Give your answer as a comma separated list, for example: a, b, ...)
For which values of does the system have a unique solution?
ke
(Give your answer in interval notation, for example: [a,b) U (c,d]. If needed enter -∞ as -
infinity and ∞ as infinity.)
For which values of / does the system have infinitely many solutions?
k =
=
(Give your answer as a comma separated list, for example: a, b, ...)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2af5a58a-26e3-4baa-9073-1b18b1512b13%2Fd1655ec4-0134-4809-a630-0e70af26bb39%2F8y0go6d_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider a system of equations whose augmented matrix reduces to
1
2
0 k² - 64
k
2
k-6
-16
0
-
0 k 1 k²-1k
Which values of / do you have to consider separately?
k =
=
(Give your answer as a comma separated list, for example: a, b, ...)
For which values of is the system inconsistent?
k =
=
(Give your answer as a comma separated list, for example: a, b, ...)
For which values of does the system have a unique solution?
ke
(Give your answer in interval notation, for example: [a,b) U (c,d]. If needed enter -∞ as -
infinity and ∞ as infinity.)
For which values of / does the system have infinitely many solutions?
k =
=
(Give your answer as a comma separated list, for example: a, b, ...)
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