Unit 1 MATRICES Dr. Shildneck Fall, 2015

WHAT IS A MATRIX? A Matrix is a rectangular array of numbers placed inside brackets. A Matrix is a rectangular array of numbers placed inside brackets. The plural form is “MATRICES.” The plural form is “MATRICES.”

The DIMENSIONS of a Matrix indicate its size. The DIMENSIONS are determined by the number of rows and columns in the array. The DIMENSIONS are determined by the number of rows and columns in the array. Rows are lists of numbers across the array. Rows are lists of numbers across the array. Columns are lists down the array. Columns are lists down the array.

DIMENSIONS Determine the dimensions of the matrix.

Equal Matrices For two matrices to be equal, 1. They have to be the same size. 2. Each entry (in corresponding positions) must be equal.

Equal Matrices Determine the values of the unknowns that make the two matrices equal.

Special Matrices Number Matrix (1x1) Row Matrix (1xN) Column Matrix (Nx1) Square Matrix (NxN) Zero Matrix: All entries are zero

Notations with Matrices A matrix can be given a “Name.” Typically use a capital letter. The entries in a named matrix also have names given by the same lowercase letter and a subscript that refers to its position (row, column)

Notations with Matrices 1) a 11 2) a 32 3) a 23

Tables and Matrices A matrix can also be though of as a table of data. Matrices are often created from data so that the information can be utilized more efficiently by computers and analysts.

Tables and Matrices Create an appropriate matrix for the data provided. Laps RunPractice Day STUDENT MondayTuesdayWednesday Billy589 Nancy789 Sam51012

ASSIGNMENT Assignment #3 WS Introduction to Matrices