Can anyone tell me how would I answer these type

Akbar Witt

Akbar Witt

Answered question

2022-02-23

Can anyone tell me how would I answer these type of questions? I already know how to answer the normal way which doesn't include any variables such as Alpha in the question.
a.[1α4368]
b. [1α3246]

Answer & Explanation

greikkar5bu

greikkar5bu

Beginner2022-02-24Added 5 answers

You can proceed via row-reduction, just as you would without the variable. Taking the first problem, subtract 3 times the first row from the second to get
[1α4063α4]
Examine the last row of this matrix. If 63α=0, the pivot will be in the third column, and you’ll end up with an inconsistent system. If 63α0, you can proceed with the reduction to row-ecehlon form, but the lower-right element will remain non-zero, so the system is consistent in the case. Can you solve the other problem yourself now?

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