Page 748 - Elementary_Linear_Algebra_with_Applications_Anton__9_edition

+×+ × + × + ×

Solve by Gauss– Jordan

elimination

Solve by Gaussian

elimination

Find by reducing to

Solve as
Find by row reduction
Solve
by Cramer's rule

Assuming for simplicity a computer execution time of 2.0 microseconds for multiplications and 0.5 microsecond for additions,
4. use the results in Exercise 3 to fill in the execution times in seconds for the procedures in Table 4.

Table 4

Execution Time Execution Time Execution Time Execution Time
(sec) (sec) (sec) (sec)

Solve by Gauss– Jordan

elimination

Solve by Gaussian

elimination

Find by reducing to

Solve as
Find by row reduction
Solve
by Cramer's rule

Derive the formula
5.

Hint Let . Write the terms of in reverse order and add the two expressions for .