Unit Test — Unit test Answers

What is the value of given the matrix equation below?

What is the value of C in the matrix equation below?

If and , then which statement is true?

What is the value of element 1,1 in matrix X?

What is the value of x in the matrix equation below?

Ming drew a triangle. The sum of the angles of the triangle is 180º. In Ming’s triangle, B is twice the measure of A, and angle C is 5º greater than four times A. The system of equations below can be used to find the measure of the three angles, where a represents the measure of A, b represents the measure of B, and c represents the measure of C.a + b + c = 180 2a = b 4a + 5 = cWhich matrix represents the measure of each angle in Ming’s triangle?

Using Cramer’s Rule, what is the value of x in the solution to the system of equations below?

Which operation properly transforms matrix I to matrix II?

A small organic food store makes two types of fruit smoothies: tropical and sport. Each tropical smoothie uses 9 oz of orange juice and 6 oz of milk. Each sport smoothie uses 3 oz of orange juice and 3 oz of milk. The store buys the orange juice in a 210-oz container and milk in a 150-oz container. The store sells the tropical smoothies for $4 and sells the sport smoothie for $3. What is the maximum in smoothie sales the store can make from 1 container each of orange juice and milk?

Raj 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.

What is the determinant of ?

Using Cramer’s Rule, what are the values of x and y in the solution to the system of linear equations below?

A deli is offering two specials. The roast beef special gives a profit of $2.30 per sandwich, and the turkey special gives a profit of $3.10 per sandwich. The roast beef special uses two slices of bread and three slices of cheese. The turkey special uses two slices of bread and four slices of cheese. The deli has 120 slices of bread and 160 slices of cheese available for the specials. The deli wants to maximize its profit selling specials. Let x represent the number of roast beef specials and y represent the number of turkey specials. What are the constraints for the problem?

What is the product?

What is the product?

Which value of x makes the two matrices inverses of each other?

What is the determinant of the coefficient matrix of the system ?

The matrix represents the length of 12 in. and the width of 4 in. of a rectangle. If matrix multiplication is used to double the length and width of the rectangle, which rectangle represents the result of the matrix multiplication?

Using Cramer’s Rule, what is the value of x in the solution to the system of linear equations below?

What is the determinant of the coefficient matrix of the system ?