Section 9-1 An Introduction to Matrices Objective: To perform scalar multiplication on a matrix. To solve matrices for variables. To solve problems using matrix logic.

Matrices A matrix is a rectangular array of variables or constants in horizontal rows and vertical columns, usually enclosed in brackets. In a matrix, numbers or data are organized so that position in the matrix has a purpose. Each value in the matrix is called an element.

Matrices Algebra II

Matrices A matrix is usually named using an uppercase letter, as in Matrix C on the previous page. A matrix can also be named by using the matrix dimensions with the letter name. The dimensions tell how many rows and columns, in that order, are in the matrix. This matrix would be named C 3x4 since is has 3 rows and 4 columns.

Scalar Multiplication You can multiply a matrix by a constant called a scalar. This is called scalar multiplication.

Matrices Two matrices are considered to be equal if they have the same dimensions and if each element of one matrix is equal to the corresponding element of the other matrix.

Transformations Transformations are functions that map points of a shape onto its image. When a geometric figure is enlarged or reduced, this transformation is called a dilation. Algebra II

Example 1 Perform the indicated operation.

Example 2

Example 3 Solve for the variables

Example 4 Solve for the variables.

Assignment 9-1 Worksheet