Vector Multiplication Using Matrices — Unit test Answers

On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions are on the test?

The matrix below represents a system of equations.What is the solution to this system of equations?

Which operation properly transforms matrix I to matrix II?

The diagram below shows vector v.Given transformation matrix , which diagram shows the application of T to v?

The transformation T = is applied the figure below. Which transformation is applied to the figure?

Jim’s family is choosing whether to go to a restaurant for lunch or for dinner. The cost of a salad is $7 at lunch and $9 at dinner. The cost of a steak is $10 at lunch and $12 at dinner. Each person will choose either a salad or a steak regardless of the mealtime. Jim calculates the food bill to be $41 if they go during lunch and $51 if they go during dinner. How many people will choose a salad?

What is the solution to the system of linear equations represented by the matrix equations below?

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

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

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

The table below shows the number of times the dishwasher was used in three different houses over three days. Dishwasher Use House AHouse BHouse CFriday122Saturday234Sunday223On Friday, 17.5 total gallons of water were used. On Saturday, 31.5 total gallons were used. On Sunday, 24.75 total gallons were used. What is the difference between the water use per load of the dishwasher that uses the most water and the dishwasher that uses the least water?

The tables below show running hours of three printers that produce greeting cards and the total number of greeting cards produced over three weeks. Number of Hours Machine Is Running Printer APrinter BPrinter CWeek 1405045Week 2455035Week 3504050 Total Cards ProducedWeek 17,950Week 27,350Week 38,700Printer B uses $15 in ink every hour. What is the ink cost for each card coming from printer B?

Matrix C is a transformation of matrix B, and matrix B is a transformation of matrix A, as shown below.Which matrix represents matrix C?

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

Given , , .What is the value of matrix B if A + B = C?

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?

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

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

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

Which transformation matrix would result in a 300° counterclockwise rotation about the origin?