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When we should use K-C theorem?

and when we can use different methods like Gauss method?

For example we have 3x4 matrix with parameter a:

1 a 3  | a
a 2 3  | 1
-1 a 2 | a+1

should we use K-C here?

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    You should diagnolize the matrix after that use K-C theorem. – 2017-01-25

1 Answers 1

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Of course we could, but i find Cramer's Rule more useful in this case. Compute the determinant to determine when the system is definite or not.

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    Is there any example when we can't use other methods? (only K-C work) – 2017-01-25
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    For example when we have more unknows than equations. – 2017-01-25