Solve the following problems by using the inverse of the matrix involved.labor hour to polish; model B(a) An automobile factory produces two models, A and B. Model A requires 1 labor hour to paint andrequires 1 labor hour for each process. During each hour that the assembly line is operating, there are 80 labor hours available forpainting and 65 labor hours for polishing. How many of each model can be produced each hour if all the labor hours available are to beutilized?(b) Suppose each model A requires 14 widgets and 10 shims and each model B requires 10 widgets and 7 shims. The factory can obtain970 widgets and 685 shims each hour. How many cars of each model can it produce while using all the parts available?(a) Model A:Model B:

(a) Given An automobiles factory produces two models A and B. Model A requires 1 labor hours to…

Answered: Solve the following problems by using…

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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Describe the geometry of the solution set for the matrix equation Ax 2 3
Step 6. As seen in Steps 4 and 5, it takes some very special conditions, indeed, for two matrices to commute. Make up one more size 3 x 3 example. Be sure your example is different from that given in Step 4. In other words, provide two matrices A and B such that AB= BA. But, this time, make sure your matrices A and B are not diagonal. In the table below, enter your matrices A and B and verify that their products AB and BA are the same. Simplify your results as much as possible. A B АВ B BA Step 7. For this final step, let M be the set of all matrices and let D be the subset consisting of all 3 x 3 diagonal matrices. Conclusion. From the results of this and previous exercises, we have found that the set D commutative under matrix multiplication because AB = BA for matrices A and B in D By contrast, note that M commutative because AB = BA for matrices A and B in M. So, while M is not there exist subsets of M which are. And, D is just one example: can you think of others?
At the movies, Devin bought three tickets, one drink, and one bag of popcorn for $43.75.Neil bought one ticket, three drinks, and two bags of popcorn for $27.75Jung bought two tickets, two drinks, and one bag of popcorn for $34.Determine the values that replace the letters in the augmented matrix which represents the situation.⎡⎣⎢3cea321d1∣∣∣∣b27.75f⎤⎦⎥[3�1�3��21|�27.75�] a=�= b=�= c=�= d=�= e=�= f=�= Part BUse the completed augmented matrix to find out the prices for one ticket, one drink, and one bag of popcorn. cost of one ticket = $ cost of one drink = $ cost of one bag of popcorn = $
Diagonalize the following matrix. -2 0 0 P= D= poogle Translate 0 0 -1 2 P-¹ = 0 - 3 Paraphrasing Tool ... Welcome - Realize... y https://mail.yahoo.c...
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise In the matrix shown below, form a row-equivalent matrix by multiplying row 1 by -6 and adding the result to row 2. In other words, apply the row operation (R₂-6R₁) to the given matrix. -8 5 5 1 6 84 5 Step 1 Perform elementary row operations to form a row-equivalent matrix. Add -6 times row 1 to row 2 and put the result in row 2. 1 1 -8 5 6 5 1 8 4 5 R₂-6R₂ -6(1) 5- -8 (-8) 1-6 5 8 -4 5 Simplifying all values gives the following matrix, which is row-equivalent to the original matrix.
Please answer the question in the attached file. The more steps the better as I'm not confident what I've done so far.
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.
What volume of each of a 5% acid solution and a 65% acid solution should be combined to form 46 ml of a 50% solution? Set up the appropriate equations and solve the system using the inverse of the coefficient matrix. Combine O ml of the 5% acid solution withO mL of the 65% acid solution to form 46 mL of a 50% solution. (Type integers or decimals. Round the final answers to two decimal places as needed. Round all intermediate values to two decimal places as needed.)

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