Solve the problem.Danielle stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 22 nights. She spent twice as many nights in Dallas as she did in Washington. The total cost for 22 nights (excluding tax) was $3,100. Determine the number of nights that she spent in each city. Let x, y, and z represent the number of nights in Washington, D.C., Atlanta, Georgia, and Dallas, Texas, respectively. First, write the system of linear equations. Second, write the Augmented Matrix for the system of linear equations then solve using the Gauss-Jordan Elimination. Please show the initial matrix, all the row operations in order, and the final matrix for credits.  

1. The figure below shows a charged particle +q moving through a magnetic field, B. What is the direction of the force on this particle?  

7. A circular loop of wire of area 25 cm2 lies is the plane of the paper.   An increasing magnetic field B is coming out of the paper. What is the direction of the induced current in the loop?  

3.  A circular loop of wire is in a region of a uniform magnetic field. The magnetic field is directed into the page and is increasing in intensity. The direction of the induced current in the loop is

11. A 20 cm long solenoid has 500 turns and carries a current of 3.0 A. The magnetic field at its center is

9.  A conducting rod of length L=0.65 m and a resistance of 2.0 

If you want to use Excel during the exam, please open up the following skeleton Excel template for your use during the exam.  YOU MUST DOWNLOAD EXCEL FROM THIS QUESTION FOR HONORLOCK PURPOSES. The Excel file has certain Essay #1 information embedded and will make completing the requirements efficient. You will find it necessary to add certain labels to the model to properly describe amounts you have calculated. You may modify the template to match your preferences. All answers developed in your excel file should be transferred (copied and pasted) to the Canvas exam, as is our usual custom. You will upload your saved Excel spreadsheet template, with answers, in the question following the first essay question. Chapter 19 Essay Questions Student Version Summer 2021.xlsx 

For the matrix an eigenvalue is

For Gauss-Seidel the following system is given:

Eigenvalues, Eigenvectors ————————————