 ## Tutoring on Finding and Using Determinants

Learning Objectives:

#### Identify Determinants.

Math Tutoring on Finding and Using Determinants

A Determinant is a real number associated with a square matrix. The determinant of a square matrix A is denoted by "det A" or |A|.

Properties of Determinants:

1)   The determinant is not a matrix, it is a real number.

2)   The determinant can be a negative number.

3)  The determinant exists for square matrices only like 2 x 2, 3 x 3, ... n x n.

4)   The inverse of a matrix exists only if the determinant is not zero.

Determinants can be used to solve a linear system of equations. The method is called Cramer's Rule.

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Hook Questions:

1.    What is the difference between a matrix and a determinant?

2.    Compare Diagonal Method and Cofactor Method.

3.    What is Cramer's Rule?

4.    How to apply Determinants for finding areas?

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