Solving Matrix Equations — Test Answers

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.

If , then what is –K?

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?

Given matrices G and H below, which statement is true?

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

Which value of D would make the equation 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?

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

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.

What is the product?

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

Matrices X and Y both measure and are inverses of each other. Which matrix represents their product?

Given , , and .What is Y if ?

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 determinant of ?