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Determinants (Linear Algebra)

0:00 What is a determinant? 2:49 1x1 Determinants 4:36 2x2 Determinants 12:02 3x3 Determinants 17:21 Saving time with calculations 24:59 Determinants of Identity Matrices In this video, we explain that a determinant is a real number associated with a square matrix. We mention a brief list of applications of determinants. We show you how to calculate the determinant of a 1x1 matrix, 2x2 matrix, 3x3 matrix and so on. A discussion is included of how to choose a row or column to expand when finding the determinant of a larger matrix. Last, we show why the determinant of an identity matrix is always equal to 1, no matter what its size.