Calculating the value of determinant by using row-column tri

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    Determinant Value
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To calculate the value of a determinant using row-column transformations, it is crucial to perform column operations sequentially, utilizing the updated columns from each step. The error in the calculation arises when the original columns are mistakenly used instead of the modified ones. Ensuring that each operation references the most current matrix is essential for accurate results. The discussion emphasizes the importance of following these procedural steps to avoid mistakes. Proper application of these techniques will lead to the correct determinant value.
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Homework Statement


I am trying to find the value of a determinant,
IMG_20180803_122649.jpg


Homework Equations


See the notes given in my Textbook,
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The Attempt at a Solution


I applied this method to find the value of a determiannt,

See it here,
IMG_20180803_122102.jpg


Why is my result wrong?

I will be thankful for any help!
 

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The column operations must be done sequentially, and at each step must use the columns from the new matrix created in the previous step.

So in the second step when you subtract C2 from C3 it has to be the new C2, not the original one.
 
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andrewkirk said:
The column operations must be done sequentially, and at each step must use the columns from the new matrix created in the previous step.

So in the second step when you subtract C2 from C3 it has to be the new C2, not the original one.
 
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