Matrices and Their Inverses — Test Answers

What is the value of the element in row 1, column 1 of matrix X?

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

Which value of D would make the equation true?

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?

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

If , then what is –K?

Which property is shown in the matrix addition below?

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?

Given , , and .What is Y if ?

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

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

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?

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.