Matrices and Row Operations — Unit test Answers

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

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

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?

What is the product?

If , then what is –K?

Which property is shown in the matrix addition below?

The matrix below represents a system of equations.Which of the following describes the solution to this system of equations?

A store sells almonds for $7 per pound, cashews for $10 per pound, and walnuts for $12 per pound. A customer buys 12 pounds of mixed nuts consisting of almonds, cashews, and walnuts for $118. The customer buys 2 more pounds of walnuts than cashews. The matrix below represents this situation.If the reduced row echelon form of this matrix represents the amount of each type of nut the customer buys, which statement is a possible interpretation of the results?

Which matrix equation can be used to solve the systems of equations below?3x - 2y = -36x - 5y = -9

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

A basketball player scored 33 points during a game by shooting 1-point free throws, 2-point field goals, and 3-point field goals. The player scored 17 times. She scored 3 more 2-point field goals than 1-point free throws. The system of equations below represents the situation, where x is the number of 1-point free throws, y is the number of 2-point field goals, and z is the number of 3-point field goals. x + y + z = 17x + 2y + 3z = 33y – x = 3Which matrix and solution represents the number of 1-point free throws, 2-point field goals, and 3-point field goals the player scored?

A row operation is performed on a matrix as shown below.What is the value of x?

Given , , and .What is Y if ?

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

A triangle is located on a three-dimensional coordinate plane. Matrix A shows the location of each vertex, where the first column represents the x coordinate, the second column represents the y coordinate, and the third column represents the z coordinate.The triangle is dilated by a scale factor of 2, then translated by the factors in matrix B, resulting in an image triangle as represented by the equation below.In which directions are the vertices translated, as indicated by matrix B?