# Determinants and solving equations

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When solving a 3 3 determinant I broke the determinant down into a sequence of 2 2 determinants, remembering to alternate the signs of the leading coefficients in front of the smaller determinants. By extension, how might I calculate a 4 4 determinant?

Please show all work thoroughly.

Also, what is the advantage of using the method of Substitution for solving a system of equations compared to using the method of addition?

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##### Solution Summary

This explains how to calculate a 4x4 determinant and explains the advantage of teh substitution method of addition.

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