Matrices and Row Operations — Unit test Answers

Matrices X and Y both measure and are inverses of each other. Which matrix represents their product?

The constraints of a problem are listed below. What are the vertices of the feasible region?

James bought two shirts and three pairs of pants for $87. Matthew bought two pairs of pants and one shirt for $53. Assuming each pair of pants costs the same amount and each shirt costs the same amount, how much does one pair of pants cost?

Calvin encoded a secret phrase using matrix multiplication. Using A = 1, B = 2, C = 3, and so on, he multiplied the clear text code for each letter by the matrix to get a matrix that represents the encoded text. The matrix representing the encoded text is . What is the secret phrase? Determine the location of spaces after you decode the text.

A school district needs to arrange transportation for at least 360 students for a field trip. The district can use large buses or small buses. The large buses hold 60 students each and have an operating expense of $300 for the day. The small buses hold 45 students each and have an operating expense of $200 for the day. The district only has chaperones for, at most, seven buses. What is the minimum cost for the transportation for the field trip if each bus has chaperones?

Which determinants can be used to solve for x and y in the system of linear equations below?

The constraints of a problem are listed below. What are the vertices of the feasible region?