# Pre-Calculus Unit 1 Matrices

Objectives:

In this unit students will:

• Represent and manipulate data using matrices.
• Define the order of a matrix as the number of rows by the number of columns.
• Add and subtract matrices and know these operations are possible only when the dimensions are equal.
• Recognize that matrix addition and subtraction are commutative.
• Multiply matrices by a scalar and understand the distributive and associative properties apply to matrices.
• Multiply matrices and know when the operation is defined.
• Recognize that matrix multiplication is not commutative.
• Understand and apply the properties of a zero matrix.
• Understand and apply the properties of an identity matrix.
• Find the determinant of a square matrix and understand that it is a nonzero value if and only if the matrix has an inverse.
• Use 2 X 2 matrices as transformations of a plane and determine the area of the plane using the determinant
• Write a system of linear equations as a matrix equation and use the inverse of the coefficient matrix to solve the system.

Worksheets: