Presentation on theme: "4.1 Introduction to Matrices. About Matrices A matrix is a rectangular arrangement of numbers in rows and columns. Rows run horizontally and columns."— Presentation transcript:
4.1 Introduction to Matrices
About Matrices A matrix is a rectangular arrangement of numbers in rows and columns. Rows run horizontally and columns run vertically. The dimensions, or size, of a matrix are: # of rows X # of columns.
Special Matrices Some matrices have special names because of what they look like. a)Row matrix: only has 1 row. b)Column matrix: only has 1 column. c)Square matrix: has the same number of rows and columns. d)Zero matrix: contains all zeros. e)Identity matrix: 1’s going down the main diagonal and zeros everywhere else
Find the dimensions of each matrix. Dimensions: 3x2 Dimensions: 4x1 COLUMN MATRIX Dimensions: 2x4
Using Matrices to Solve Equations Equal Matrices - two matrices that have the same dimensions and each element of one matrix is equal to the corresponding element of the other matrix. *The definition of equal matrices can be used to find values when elements of the matrices are algebraic expressions.
* Since the matrices are equal, the corresponding elements are equal! Step 1: Form two linear equations. Step 2: Solve the system using any method. Examples: Find the values for x and y