Vector Multiplication Using Matrices — Unit test Answers

Hugo reflects a vector v across the line y = –x. Nemo rotates a vector v 180° counterclockwise about the origin. Which of the following vectors would have the same image for Hugo and Nemo?

If , then what is –K?

Which property is shown in the matrix addition below?

Which image is a reflection over the line y = x of triangle 1?

What is the product?

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?

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

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?

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

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

Let u = ⟨1, 5⟩, v = ⟨–3, 3⟩, and w = ⟨2, 3⟩. What is the direction angle of 4w – (2u + v)?

Let q = ⟨15, –3⟩, r = ⟨–5, 8⟩, and s = ⟨10, –1⟩. What is r – q + 2s?

Let a =⟨–7, 3⟩ and b =⟨–2, –12⟩, and c = a + b. What is the magnitude and direction angle of c?

Let v = ⟨–13, 2⟩ and w = ⟨–9, –5⟩. What is w – v?