There is a number of ways to compute determinants of square matrices depending on their dimensions.

Determinants of 2×2 and 3×3 matrices can simply be computed using their set formulas as seen below:

Determinants of 4×4 and higher matrices actually take advantage of determinants found for smaller square matrices using Cofactors as illustated below. As usual, nicely laid out with every step along the way until the final answer shows.

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