The final grade in a particular course is determined by grades on the midterm and final. The grades for five studentsand the two grading systems are modeled by the following matrices. Call the first matrix A and the second B. Completeparts (a) and (b).Click to view the matrices.a. Describe the grading system that is represented by matrix B.Grading system 1 assigns 50% of the final grade to the midterm and 50% of the final grade to the final. Gradingsystem 2 assigns 20% of the final grade to the midterm and 80% of the final grade to the final.b. Compute the matrix AB and assign each of the five students a final course grade first using system 1 and then usingsystem 2. (89.5-100=A, 79.5-89.4 = B, 69.5-79.4 = C, 59.5-69.4D, below 59.5 = F)Grade System 1 System 2...Student 1Student 2Student 3Student 4Student 5(Type A, B, C, D, or F.) Data tableStudent 1Student 2Student 3Student 4Student 5Midterm7680908760Final8880847079MidtermFinalSystem 1 System 20.5[50.50.20.8

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Answered: The final grade in a particular course…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A corporation has four factories, each of which manufactures sport utility vehicles and pickup trucks. In the matrixaij represents the number of vehicles of type i produced at factory j in one day. Find the production levels when production increases by 10%.
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Given three matrices, find the sum
Encode the message Math is good. Break the message into groups of two letters and use the matrix M = How can the message be encoded? OA Translate each group into a sequence of integer pairs and add each to the identity matrix 0. Translate each group into a sequence of integer pairs and multiply each by M OC. Translate each group into a sequence of integer pairs and subtract each from the identity matrix D. Translate each group into a sequence of integer pairs and multiply each by M Encode the message. Give your answers as column matrices, where each matrix contains a pair of encoded letters. Give the matrices in the order they were encoded, which should correspond to the order of the original message 119 888888 (Type an integer or simplified fraction for each matrix element.) 29 15
This is one question, I couldn’t fit it into one picture so I insert 2.
Felipe, Pablo, and Amy each sell avocados for $1.40 each, boxes of strawberries for $1.90 each, and tomatoes for $0.70 each. They don't sell any other food. The number sold by each seller and each type of food is as follows. Felipe Pablo Amy Number sold Avocados Boxes of strawberries Tomatoes 400 440 620 570 530 520 The table can be represented as the following matrix. 400 420 440 A 620 590 570 530 480 520 420 590 480 (a) Find a matrix B whose entries are the prices (in dollars) of each type of food. Make sure the product AB is defined and its entries are the amounts of money (in dollars) made by each seller overall. B = 0 (b) Calculate the product AB. AB= 0 (c) How much money (in dollars) did Felipe make overall? $0 믐 1000 000 X 00 [000) Undefined
5
A community fitness center has a pool and a weight room. The admission prices (in dollars) for residents and nonresidents are given by the matrix P. The average daily numbers of customers for the fitness center are given by the matrix A. a. Compute AP. b. What is the average amount of money taken in by the pool each day? P= 5.50 6.00 Residents Nonresidents A= Residents 64 76 Nonresidents 70 89 a. AP = (Type an integer or decimal for each matrix element.) Pool Weight room CH
The figure to the right shows the letter L in a rectangular coordinate system. The figure can be represented by the matrix B, shown to the right. Each column in the matrix describes a point on the letter. The order of the columns shows the direction in which a pencil must move to draw the letter. The L is completed by connecting the last point in the matrix, (0,9), to the starting point, (0,0). Use these ideas to complete parts (a) and (b) below. a. If A = AB - 1 0 [!!] 0 1 find AB. (Simplify your answer.) b. Graph the object represented by matrix AB. What effect does the matrix multiplication have on the letter L represented by matrix B? Choose the correct graph below. A. O B. Rotates the letter L about the origin. Reflects the letter L across the x-axis. O C. Q 077 11 0 B-[07718] 001 199 B= Reflects the letter L across the y-axis.
Two departments of a firm, A and B, need differing amounts of steel, wood, and plastic. The table on the right gives the amount of each product the departments need. These three products are supplied by two suppliers, Company C and Company D, with the unit prices given in the table on the right. C a. Use matrix multiplication to determine how much these orders will cost each department at each of the two suppliers. Enter the amounts into the cost matrix shown on the right. Dept. A Dept. B Department A Department B Steel Wood Plastic Co. C Company C 580 280 280 Co. D Company D — 570 180 380 Steel 70 60 Wood 60 40 Plastic 40 60
Determine if the statement is true or false.Different sequences of row operations can lead to different echelon forms for the same matrix.Explain why it is true/false.

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