LApreC2010-102-matrixquiz11b.4rq
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This document contains a 4-part math pre-quiz with calculator instructions. Each part presents a system of equations and asks the student to rewrite it in matrix form, use Cramer's Rule or take the inverse to solve for variables x, y, and z, and check their work. The student is instructed to show their work and circle final answers.
LApreC2010-102-matrixquiz11b.4rq
- 1. Math 4R preQuiz11B Name: For each question: Show all work. Justify each answer in the space provided. Circle final answers. (1) NO CALCULATOR: 3x – 2y = 4 5x – 4y = 0 (1a) Rewrite this System of Equations as a Matrix Equation: AX = B. (1b) Find x using Cramer’s Rule. (1c) Find y using Cramer’s Rule. (1d) Check your answers via substitution. a:QUIZ11B.4Rq
- 2. Math 4R preQuiz11B Name: For each question: Show all work. Justify each answer in the space provided. Circle final answers. (2) NO CALCULATOR 3x – 2y = 4 5x – 4y = 0 (2a) Rewrite this System of Equations as a Matrix Equation: AX = B. (2b) Rewrite your Matrix Equation: X = A-1B. (2c) Calculate the X vector. (2d) Does your answer check? a:QUIZ11B.4Rq
- 3. Math 4R preQuiz11B Name: For each question: Show all work. Justify each answer in the space provided. Circle final answers. (3) CALCULATOR ACTIVE x+y–z=6 3x – 2y + z = –5 x + 3y –2z = 14 (3a) Rewrite this System of Equations as a Matrix Equation: AX = B. (3b) Find x using Cramer’s Rule. (3c) Find y using Cramer’s Rule. (3d) Find z using Cramer’s Rule. a:QUIZ11B.4Rq
- 4. Math 4R preQuiz11B Name: For each question: Show all work. Justify each answer in the space provided. Circle final answers. (4) CALCULATOR ACTIVE x+y–z=6 3x – 2y + z = –5 x + 3y –2z = 14 (4a) Rewrite this System of Equations as a Matrix Equation: AX = B. (4b) Rewrite your Matrix Equation: X = A-1B. (4c) Calculate the X vector. (4d) Does your answer check? a:QUIZ11B.4Rq