Material Type:
Module
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Ohio Open Ed Collaborative
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# DET-0040: Properties of the Determinant

## Overview

We summarize the properties of the determinant that we already proved, and prove that a matrix is singular if and only if its determinant is zero, the determinant of a product is the product of the determinants, and the determinant of the transpose is equal to the determinant of the matrix.

https://ximera.osu.edu/la/LinearAlgebra/DET-M-0040/main