Solve the given systems of equations by using the inverse of the coefficient matrix. Use a calculator

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Solve the given systems of equations by using the inverse of the coefficient matrix. Use a calculator to perform the necessary matrix operations and display the results and the check. See Example 4.

4x + 2y – 2z = 2

3x –  2y8z = – 3

x + 3y + z = 10


Data from Example 4

Use a calculator to perform the necessary matrix operations in solving the following:


First, we set up matrices A, X, and C:


It is now necessary only to enter matrices A and C in the calculator and find the matrix product A−1C, as shown in Fig. 16.13(a). (There is no need to record or display A−1.) This shows that the solution is


This solution can be checked on the calculator by storing the resulting matrix X as matrix B and finding the matrix product AB, which should equal matrix C as shown in Fig. 16.13(b). The product AB is equivalent to substituting each value into the original equations, as shown in Eq. (16.8).

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Basic Technical Mathematics

ISBN: 9780137529896

12th Edition

Authors: Allyn J. Washington, Richard Evans

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