2About MatricesA 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.
3Special MatricesSome matrices have special names because of what they look like.Row matrix: only has 1 row.Column matrix: only has 1 column.Square matrix: has the same number of rows and columns.Zero matrix: contains all zeros.Identity matrix: 1’s going down the main diagonal and zeros everywhere else
4Dimensions: 4x1 COLUMN MATRIX Dimensions: 3x2 Find the dimensions of each matrix.Dimensions: 4x1 COLUMN MATRIXDimensions: 3x2Dimensions: 2x4
5Using 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.
6Examples: Find the values for x and y * Since the matrices are equal, the corresponding elements are equal!Step 1: Form two linear equations.Step 2: Solve the system using any method.