Section 3.7 Solving Systems of Linear Equations by Using Matrices 299 Topic: Entering a Matrix into a Calculator Many graphing calculators have a matrix editor in which the user defines the order of the matrix and then enters the elements of the matrix. For example, the 2 3 matrix is entered as shown. D c 2 3 3 1 ` 13 8 d Calculator Connections Once an augmented matrix has been entered into a graphing calculator, a rref function can be used to transform the matrix into reduced row echelon form. Section 3.7 Practice Exercises Vocabulary and Key Concepts 1. a. A is a rectangular array of numbers.The order of a matrix is where m is the number of and n is the number of . m n b. A matrix that has exactly one column is called a matrix. A matrix that has exactly row is called a row matrix, and a matrix with the same number of rows and columns is called a matrix. c. Given the system of equations shown, matrix A is called the matrix.The matrix B is called the matrix. B c 3 2 3x 2y 6 d 4x 5y 9 A d c 3 2 4 5 4 5 d. The matrix A is said to be written in reduced form. Review Exercises A c1 0 0 1 ` 8 2 d ` 6 9 2. How much 50% acid solution should be mixed with pure acid to obtain 20 L of a mixture that is 70% acid? For Exercises 3–5, solve the system by using any method. 3. 4. 5. x 6y 9 x y z 8 2x y z 4 x 2y 13 x 2y z 3 x y 3z 7 x 3y 2z 7 x 3y 4z 22
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