Posted: November 20th, 2022

Wilson High School-ALGEBRA 2-Math | Graded Assignment | Unit Test, Part 2

Math | Graded Assignment | Unit Test, Part 2 | Vectors and MatricesName:Date:Graded AssignmentUnit Test, Part 2: Vectors and MatricesAnswer the questions below. When you are finished, submit this assignment to your teacher by the due date forfull credit.Total score: ____ of 36 points(Score for Question 1: ___ of 12 points)1.The matrices show the numbers of different types and sizes of sweaters that a clothing store has in stock.BoysGirlsSmall Medium LargeButton 24Zipper 32118Small Medium Large1614Button 7Zipper 321592621(a) Add the matrices. Label the sum as matrix A. Describe what matrix A represents.(b) What does elementa12represent?(c) If you add all the elements in the second row of matrix A, what would this number represent?(d) How many large sweaters does the store have in stock? Tell how you can use matrix A to determine theanswer.(e) Write a matrix that represents how many more girls than boys button and zipper sweaters the store has instock in each size.Answer:© 2015 K12 Inc. All rights reserved.Copying or distributing without K12’s written consent is prohibited.Page 1 of 6Math | Graded Assignment | Unit Test, Part 2 | Vectors and Matrices(Score for Question 2: ___ of 7 points)2.The first matrix shows the cost of two types of sweaters (in dollars) and the second shows the number of each typesold during different months.CostButtonZipper2218© 2015 K12 Inc. All rights reserved.Copying or distributing without K12’s written consent is prohibited.Nov. Dec. Jan. Feb.Button 5Zipper 25184032384012Page 2 of 6aMultiply the matrices.(f) How much more money was spent on sweaters sold in January than in December? Tell how to use your answerfrom Part (a) to answer this question.Answer:The Stage Manager delivers furthermost of the discussion all through the play and relieves the author from therequirement of taking expository info through the discussion of the characters. It may seem unnatural for the playto have an intrusive narrator, but at the same time it makes the dialogue and interactions of the characters morenatural and realistic because they are not doing a lot of unnatural explaining to one another. Furthermore, theredoes not have to be a "plot," as such. We know we are just getting glimpses of small-town life which mirrorshuman life all over the world.The Stage Manager is really the author, Thornton Wilder, in disguise. The Stage Manager tells the audience whatthe author would like to tell them himself. The play is not only tremendously moving but also a remarkableexample of dramatic craftsmanship. It set an example for many other dramatists to follow. In Death of aSalesman, for example, Arthur Miller uses an impressionistic stage setting with minimalistic props.(Score for Question 3: ___ of 6 points)3.Use Cramer’s rule to solveAnswer:4 x 3y 43 x y 7. Show your work.(Score for Question 4: ___ of 6 points)4.A triangle has verticesa2, 3 , 3,5 , and (8,–1).Write a matrix expression to represent reflecting the triangle across the x-axis. Evaluate the matrix expressionand list the coordinates of the vertices of the transformed figure.(g) Write a matrix expression to represent rotating the triangle 90° clockwise. Evaluate the matrix expression andlist the coordinates of the vertices of the transformed figure.Answer:(Score for Question 5: ___ of 5 points)5.SolveAnswer:x 2y 23 x 5 y 9by writing and solving a matrix equation. Show all your work.

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