Matrices and Their Inverses — Test Answers

What is the solution to the system of linear equations represented by the matrix equations below?

What is the value of C in the matrix equation below?

Jonas made the following matrix of temperatures for the first 4 days of January. He also made the following matrix of temperatures for the first 4 days of February. Which matrix shows the difference of January and February?

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

What is the product?

Suppose matrix D is the inverse of matrix C. Which of the following is equal to D?

Which value of x makes the two matrices inverses of each other?

The matrix represents the length of 12 in. and the width of 4 in. of a rectangle. If matrix multiplication is used to double the length and width of the rectangle, which rectangle represents the result of the matrix multiplication?

What is the value of x in the matrix equation below?

Given , , .What is the value of matrix B if A + B = C?

Raj 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?

Each column of the matrix represents a vertex of a rectangle on the coordinate plane. If Fan scales the rectangle by finding 4A, what are the vertices of the scaled rectangle?

What are the values of c and d in the matrix subtraction below?

What is the value of given the matrix equation below?

What is X if ?

What is the product?

The number of girls, g, in a room is four more than two times the number of boys, b. Half of the number of girls in the room minus the number of boys is 2. The equations below represent the situation.Which is true?

Given and .What is X if X + R = S?

What is the solution to the equation ?