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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.1: Matrix Operations
Problem 20EQ: Referring to Exercise 19, suppose that the unit cost of distributing the products to stores is the...
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