# Consider a linear system whose augmented matrix is first row (1 1 2 | 0) second row (1 2 -3 | -1) third row (9 19 k |-9) For what value of k will the system have no solutions ?

System has no solutions for

When the system is expressed in matrix form, we obtain:

I used the Rule of Sarrus, which can be found described on Wikipedia at https://tutor.hix.ai to calculate the determinant.

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The system will have no solutions when the determinant of the coefficient matrix is equal to zero. In this case, the determinant is equal to 0 when k = -3.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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