Guide for 3rd 9 Weeks Assessment Math 3 Matrices 1. What is the identity for a 3 x 3 matrix? 2. Write a matrix and find its inverse? 3. Solve if A = and B = . X = B 2A – X = [3 4] 2[-7 2] – X = [3 4] [-14 4] – X = [17 0] 4. Multiply . = 5. You are planning a birthday for your younger brother at a skating rink. The cost of admission is $3.50 per adult and $2.25 per child, and there is a limit of 20 people. You have $50 to spend. Write a matrix equation that could be used to determine how many adults and children you can invite. x + y = 20 3.50 x + 2.25y = 50 6. Solve . 7. Write a matrix equation to represent the system of equations . 8. Solve: 4x -50 = -6 4x = 44 x = 11 9. Write a system of equations to represent the matrix equation. . 4x + 5y + 1z = 4 5x 3y 1z = -7 – – 4x - 3y + 2z = 2 10. Find if . 11. Solve for and = _______ = ___________ x y. x y 12. What are the dimensions of matrix if ? ___4x3_______________ M Let Evaluate. Show work. If not possible, why. 13. 14. 15. = 16. Use the inverse matrix to solve the system of equations. You must show and how to set up the problem along with your solutions for and in order to receive full credit. x y
Math 3 Guide for 3rd 9 Weeks Assessment Matrices 1. What is the identity for a 3 x 3 matrix? 2. Write a matrix and find its inverse? 3. Solve if A = and B = . X = B – 2A X = [3 4] – 2[-7 2] X = [3 4] – [-14 4] X = [17 0] 4. Multiply . = 5. You are planning a birthday for your younger brother at a skating rink. The cost of admission is $3.50 per adult and $2.25 per child, and there is a limit of 20 people. You have $50 to spend. Write a matrix equation that could be used to determine how many adults and children you can invite. x + y = 20 3.50 x + 2.25y = 50 6. Solve . 7. Write a matrix equation to represent the system of equations . 8. Solve: 4x -50 = -6 4x = 44 x = 11 9. Write a system of equations to represent the matrix equation. . 4x + 5y + 1z = 4 5x – 3y – 1z = -7 4x - 3y + 2z = 2 10. Find if . 11. Solve for x and y. x = _______ y = ___________ 12. What are the dimensions of matrix M if ? ___4x3_______________ Let Evaluate. Show work. If not possible, why. 13. 14. 15. = 16. Use the inverse matrix to solve the system of equations. You must show and how to set up the problem along with your solutions for x and y in order to receive full credit.
review-answer-key.docx