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(3 points) True False Problem Enter T or F depending on whether the statement is

ID: 2252057 • Letter: #

Question

(3 points) True False Problem Enter T or F depending on whether the statement is true or false. (You must enter T or F -True and False will not work.) 1. If the number of rows of an augmented matrix in reduced row-echelon form is greater than the number of columns (to the left of the vertical bar), then the system has infinitely many solutions. 2. If the solution to a system of linear equations is given by (4 - 2z, -3 + z, z), then (4, -3, 0) is a solution to the system 3. If an augmented matrix in reduced row-echelon form has 2 rows and 3 columns (to the left of the vertical bar), then the system has infinitely many solutions.

Explanation / Answer

Answer:

1) If the number of rows of an augmented matrix in row reduced echelon form is greater than the number of columns (to the left of the vertical bar) , then the system has infinitely many solutions.

A) F

2)If the solution to the system of linear equations is given by (4-2z , -3+z , z) then ( 4,-3,0) is a solution to the system.

A) T

3) if an augmented matrix in reduced row echelon form has 2 rows and 3 columns ( to the left of the vertical bar), then the system has infinitely many solutions.

A) F