Enter the "Determinant"..??

Algebra Level 3

Find the value of the determinant


The answer is 0.

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1 solution

Sudipta Biswas
Jun 2, 2014

By Elementary Transposition

C 4 C 4 C 3 C_4 \rightarrow C_4 - C_3

C 3 C 3 C 2 C_3 \rightarrow C_3 -C_2

C 2 C 2 C 1 C_2 \rightarrow C_2 -C_1

Then

C 4 C 4 C 3 C_4 \rightarrow C_4 -C_3

C 3 C 3 C 2 C_3 \rightarrow C_3 -C_2

Two Columns

C 3 = C 4 C_3 = C_4 are equal hence the Determinant is zero. :)

nice solution !

Mayank Holmes - 6 years, 10 months ago

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