Exam 7: Systems of Equations and Data in Categories

A college conducted a survey of students satisfaction with three academic courses: mathematics, English, and science. The results are tabulated in the data matrix below. How many surveys were completed?

Find the solution of the system of linear equations described by the following matrix:

Find the solution to the given matrix by solving the matrix equation .

Two matrices can be subtracted if they have the same...

Use the graph to find the solution(s) of a system of equations with two unknowns.

If and are matrices, then .

Which one of the following is the dimension of the given matrix?

Perform the matrix operation as indicated.

Perform the matrix operation as indicated.

Which one of the following is the identity matrix?

Perform the matrix operation as indicated.

Perform the matrix operation as indicated.

Perform the matrix operation as indicated.

Find the solution to the given matrix by solving the matrix equation .

When subtracting 2 matrices, the dimensions of all matrices must be the same.

Find the solution of the system of linear equations described by the following matrix. Round to nearest hundredth.

The augmented matrix of a system of linear equations is given below in reduced row-echelon form. What is the solution to this system?

A chemist mixes two solutions, one containing 8% alcohol and another containing 25% alcohol. How many milliliters of each solution should be mixed to obtain 3 mL of a solution that contains 16% alcohol? Round to the nearest hundredth.

A college conducted a survey of students satisfaction with three academic courses: mathematics, English, and science. The results are tabulated in the data matrix below. What does the -entry represent?

If and are matrices, then when...