1. Labor costs: A company with manufacturing plants in California and Texas has labor-hour and wage requirements for the manufacturing of two calculators as given in the matrices M and N below: M = Fabricating Assembly department department N = Labor-hours per calculator 0.15 hr 0.25 hr 0.10 hr 0.20 hr Hourly wages California Texas plant plant $12 $10 $15 $12 $7 $6 Packaging department 0.05 hr 0.05 hr Model A Model B Fabricating department Assembly department Packaging department Use Matrix operations to do the following: (A) Find the labor cost for producing one model B calculator at the California Plant (B) Find the labor cost for producing one model A calculator at the Texas Plant.

Consider the following augmented matrix: 1 0 -1 203 1 -3 5 1|0 000 12 2 a. Is the matrix in row-echelon form, reduced row-echelon form, or neither? Why? b. Write the solution set (use parameters as needed). NOTE: Say what your variables are (in order) before you start trying to write the solution set!

1. Given two matrices: A find: (a) et, eBt. (b) e(A+B)t. At (c) eAteBt and eBteAt = 00 [18] [8] B - 10

Problem 3. Find a size of the given matrices. Determine whether the matrices are square or not: a) A= 2 7 - 8 -4 5 3 1 4 b) M = - 3 1 -2 0 -1 0 6 7 1

then A(-2u - 20) = -2 Au = 5 3 and A7 = 2 4 -

2. The table below presents the 2005 median annual income for different gender and ethnic groups in a developing region. Create a matrix with the data and apply matrix operations to create a matrix that represents a 12% increase in median annual income over 2005. 2005 Annual Median Income   Men Women Whites 32,179 18,669 Blacks 22,653 17,631 Hispanics 22,089 15,035

Problem. 4: Consider the following matrices. -1 0 0 A = -2 1 B = -2 4 -2 Compute 4A – 6 B. ? 4A – 6 B =

Jump to level 1 Fill in each matrix for diagonalization of the matrix A A - PDP-1 5 Ex: 5 2 AM 1 || 6 2 IL 1 2 -10 -3

PLEASE Provide an easy to follow, step-by-step, detailed, and concise solution for the following problem..

A restaurant has a main location and a traveling food truck. The first matrix A shows the number of managers and associates employed. The second matrix B shows the average annual cost of salary and benefits (in thousands of dollars). Complete parts (a) through (c) below. Restaurant Food Truck Managers Associates 5 29 1 6 (a) Find the matrix product AB. 891 98 183 20 AB= (Simplify your answer.) |=A Salary Benefits Managers 39 8 Associates 24 2 =B (b) Explain what AB represents. Choose the correct answer below. A. Row 1 of AB represents the restaurant and row 2 represents the food truck. Column 1 of AB represents total benefits (in thousands) and column 2 represents total salary (in thousands) for all employees. B. Row 1 of AB represents the restaurant and row 2 represents the food truck. Column 1 of AB represents total salary (in thousands) and column 2 represents total benefits (in thousands) for all employees. C. Row 1 of AB represents the food truck and row 2 represents the…