Scalar and Matrix Multiplication — 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?

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?

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

Amir 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.

Which value of D would make the equation true?

What is the determinant of ?

What is the product?

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

What is the area of a triangle with vertices at (–3, 3), (2, 3), and (4, 7)?

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

Which matrix will always give a determinant of 0?

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

If , then what is –K?

What is the determinant of ?

Calvin 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.