The linear system 3x3 = -6 3x3 0 x2 6x1 + 7x2 + 3x3 = 12 - = is not in echelon form. Begin by choosing which of the following statements are correct. If there is more than one reason w the system is not in echelon form, type the letters as a comma separated list. A. The system is not in echelon form because a variable is the leading variable of two or more equations.

Algebra and Trigonometry (6th Edition)
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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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The linear system
is not in echelon form.
Correct Letter(s):
6x1
Begin by choosing which of the following statements are correct. If there is more than one reason why
the system is not in echelon form, type the letters as a comma separated list.
Now write the system in echelon form.
Equation 1:
Equation 2:
Equation 3:
3x3 = -6
3x3
X2
+ 7x2 + 3x3
A. The system is not in echelon form because a variable is the leading variable of two or more
equations.
-
B. The system is not in echelon form because the system is not organized in a descending "stair step"
pattern so that the index of the leading variables increases from the top to bottom.
stem is not in echelon form because not every equation has a leading variable.
(x1, x2, x3):
=
=
0
12
Finally, solve the system. Use x1, x2, and x3 to enter the variables x₁, x2, and x3. If necessary, use s1,
s2, etc. to enter the free variables $1, 82, etc.
-(000)
Transcribed Image Text:The linear system is not in echelon form. Correct Letter(s): 6x1 Begin by choosing which of the following statements are correct. If there is more than one reason why the system is not in echelon form, type the letters as a comma separated list. Now write the system in echelon form. Equation 1: Equation 2: Equation 3: 3x3 = -6 3x3 X2 + 7x2 + 3x3 A. The system is not in echelon form because a variable is the leading variable of two or more equations. - B. The system is not in echelon form because the system is not organized in a descending "stair step" pattern so that the index of the leading variables increases from the top to bottom. stem is not in echelon form because not every equation has a leading variable. (x1, x2, x3): = = 0 12 Finally, solve the system. Use x1, x2, and x3 to enter the variables x₁, x2, and x3. If necessary, use s1, s2, etc. to enter the free variables $1, 82, etc. -(000)
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