Calculating the value of determinant by using row-column tri

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SUMMARY

The discussion focuses on calculating the value of a determinant using row-column transformations. The user encountered an error in their calculations due to not applying column operations sequentially, specifically when subtracting the second column from the third. It is crucial to use the updated matrix after each operation to ensure accuracy in the determinant's value. The importance of following the correct sequence in matrix manipulation is emphasized as a key factor in achieving the correct result.

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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,
IMG_20180803_122742.jpg


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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Thanks !
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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