The reduced row echelon form of the augmented matrix of a system of equations is given. Solve the system. 10 0 0 3/2 0 10 0 0 0 10 3 -2 0 0 0 1 -5 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The solution is ( ODD. (Type an exact answer in simplified form.) O B. There are infinitely many solutions. O C. There are no solutions.

Exercise 1. A student is asked to prove If m is even and n is odd, then m² +n² is odd. The student provides the following proof: Proof. If m is even and n is odd, then m² + n² is odd. Since m is even, m = = 2k for any integer k. Since n is odd, n = 2k + 1. Note that m² + n² = (2k)² + (2k + 1)² = 8k² + 4k +1 So m² + n² is odd because it is an even number plus 1. (a) Identify the errors in the proof above. There are multiple errors. Explain each error. Your explanation should be written to the student who made the error and should try to help the student understand why what they wrote is incorrect. (b) In addition to errors, provide suggestions to improve the student's proof writing. That is, explain what parts of the proof are unclear or unjustified. Explain how such parts of the proof prevent some students from fully following the ment made. (c) Finally, provide a correct proof of the theorem above.

Given the solution matrix from the calculator, write the solution 1 0 | 5 0 1 | -6What's the correct solution? Given the solution matrix from the calculator, write the solution 1 0 -3 | 5 0 0 0 | -6  What's the correct solution?

Write the system of linear equations as a matrix equation. -3 8 lz - 8y +8z -3z-5y+1z 8x - 2y-2z -8 -5 -2 8 -2 -8 -7 9 120 68 -68

5.PS-16 Question Help A shoe store uses a 60% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $55? The selling price would be $ (Round to the nearest cent as needed.) Enter your answer in the answer box and then click Check Answer. All narte chowing Review progress Question 9. of 9 pe here to search