Adding and Subtracting Matrices — Unit test Answers

The linear system below represents the sales of large and small popcorn servings at a movie theater for two consecutive days.What is the size of the augmented matrix for this system?

If A, B, and C represent three matrices of the same size and (A + B) + C = 0, then which statement is true?

Matrix P is shown below. Given that Matrix P equals Matrix Q, what is the value of

What are the values of x and y in the matrix equation below?

A coach purchases 47 hats for his players and their families at a total cost of $302. The cost of a small hat is $5.50. A medium hat costs $6.00. A large hat costs $7.00. He purchases three times as many medium hats as small hats. Using matrices, how many large hats did the coach purchase?

Ines created a coefficient matrix to represent the system of linear equations below.Which type of matrix did Ines create?

Which would be the next step in solving for matrix A?

Matrix X is shown below.If matrices X and Y are equal, what is the value of

Which property is shown in the matrix addition below?

The table below shows the number of house calls three different plumbers made on three different days. Number of House Calls Plumber APlumber BPlumber CMonday288Tuesday4710Wednesday399The total amount of money earned by all three plumbers on Monday was $1,400. On Tuesday they earned a total of $1,660, and on Wednesday, they earned a total of $1,650. On Thursday, Plumber A made four house calls, Plumber B made six house calls, and Plumber C made three house calls. How much total money is earned on Thursday?

What is the product?

The vertices of a rectangle are given in the columns of the matrix . If is found to perform a transformation, what are the coordinates of the transformed rectangle?

A total of 165 people attended the opening night of a school play. Adults were charged $6, and children were charged $2. The total amount of money collected was $618. Which augmented matrix represents the situation?

If , then what is –K?

The table below shows the number of different types of faucets sold over three months and the total selling price of the items. Number of Faucets Sold and Total Selling Price Kitchen SinkBathroom SinkShowerTotal Selling PriceJanuary1587$2,830February17128$3,450March242521$6,680The company makes a profit of 15% on every faucet sold. What is the profit on one shower faucet?