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# Algebra 2 Unit 7

Matrix Is a rectangular array of numbers writtenwithin brackets. You represent a matrix with a capital letter and classify itby its dimensions. The number of horizontal rows and the number ofvertical columns determine the dimension of a matrix.
Matrix Element Each number in a matrix is a matrix element. You can identify a matrixelement by its position within the matrix. Use a lowercase letter withsubscripts. The subscripts represent the element’s row number andcolumn number.
Matrix Dimensions 1st number is vertical location, 2nd number is horizontal location of the element
Matrix Addition is performed on matrices with the same dimensions
Zero Matrix is a matrix whose elements are all zeros. This is called theadditive identity because when you add it to any matrix you result in theoriginal matrix.
Matrix Subtraction is used when two matrices have the samedimensions
Matrix Equation is an equation in which the variable is a matrix. Youcan use the addition and subtraction properties of equality to solvematrix equations.
Equal Matrices Two or more matrices with the same value.
Scalar Multiplication when you multiply a matrix by a real number. Youmultiply each element in the matrix by the factor.
Matrix Multiplication Multiply the elements of each row of the firstmatrix by the elements of each column of the second matrix. Add theproducts. You can only multiply two matrices if the number of columns inthe first matrix equal the number of rows in the second matrix.
Dimensions of a Poduct 1st # representing the vertical value, 2nd # representing the horizontal value.
Square Matrix is a matrix with the same number of columns as rows.
Muliplicative Identity Matrix Is a square matrix with 1’s along the main diagonal.
Muliplicative Inverse of a Matrix When you multiply two matrices together and get an identity matrix thenthe original matrices are inverses of each other.
Determinant det(matrix
Solving Systems With Matrices taking out the number for every variable, then put them in a matrix and solve like a regular system.
Created by: BGuice