The gross profit, net profit, gross profit margin and net profit margin of the company Sundance plumbing which has net sales of $ 324 , 100 , operating expenses are $ 99 , 200 , and cost of goods sold is $ 174 , 690 .

Question

Page < 1 of 2 - ZOOM + 1) a) Find a matrix P such that PT AP orthogonally diagonalizes the following matrix A. = [{² 1] A = b) Verify that PT AP gives the correct diagonal form. 2 01 -2 3 2) Given the following matrices A = -1 0 1] an and B = 0 1 -3 2 find the following matrices: a) (AB) b) (BA)T 3) Find the inverse of the following matrix A using Gauss-Jordan elimination or adjoint of the matrix and check the correctness of your answer (Hint: AA¯¹ = I). [1 1 1 A = 3 5 4 L3 6 5 4) Solve the following system of linear equations using any one of Cramer's Rule, Gaussian Elimination, Gauss-Jordan Elimination or Inverse Matrix methods and check the correctness of your answer. 4x-y-z=1 2x + 2y + 3z = 10 5x-2y-2z = -1 5) a) Describe the zero vector and the additive inverse of a vector in the vector space, M3,3. b) Determine if the following set S is a subspace of M3,3 with the standard operations. Show all appropriate supporting work.

Answer 1

Question

Chapter 15.III, Problem 27RE

To determine

To calculate: The gross profit, net profit, gross profit margin and net profit margin of the company Sundance plumbing which has net sales of $324,100, operating expenses are $99,200, and cost of goods sold is $174,690.

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