In Exercises 62-65, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 62. A matrix row operation such as –R, + R2 is not permitted because of the negative fraction. 63. The augmented matrix for the system x - 3y = 5 y - 2z = 7 is 1 -2 7 [1 -3|5 %3D 2x + z = 4 [2 14 64. In solving a linear system of three equations in three variables, we begin with the augmented matrix and use row operations to obtain a row-equivalent matrix with Os down the diagonal from left to right and 1s below each 0. 65. The row operation kR; + R; indicates that it is the elements in row i that change.
In Exercises 62-65, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. 62. A matrix row operation such as –R, + R2 is not permitted because of the negative fraction. 63. The augmented matrix for the system x - 3y = 5 y - 2z = 7 is 1 -2 7 [1 -3|5 %3D 2x + z = 4 [2 14 64. In solving a linear system of three equations in three variables, we begin with the augmented matrix and use row operations to obtain a row-equivalent matrix with Os down the diagonal from left to right and 1s below each 0. 65. The row operation kR; + R; indicates that it is the elements in row i that change.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:In Exercises 62-65, determine whether each statement is true or
false. If the statement is false, make the necessary change(s) to
produce a true statement.
62. A matrix row operation such as –R, + R2 is not permitted
because of the negative fraction.
63. The augmented matrix for the system
x - 3y = 5
y - 2z = 7 is 1 -2 7
[1 -3|5
%3D
2x + z = 4
[2
14
64. In solving a linear system of three equations in three
variables, we begin with the augmented matrix and use row
operations to obtain a row-equivalent matrix with Os down
the diagonal from left to right and 1s below each 0.
65. The row operation kR; + R; indicates that it is the elements
in row i that change.
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