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The linear system 2x3 x₂ 3x3 3x1 + 3x₂ + 3x3 = I = 0 -3 0 is not in echelon form. 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. 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. C. The system is not in echelon form because not every equation has a leading variable. Correct Letter(s): Now write the system in echelon form. Equation 1: Equation 2: Equation 3: 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 S₁, S₂, etc. (x1,x₂, x3) =

The linear system 2x3 x₂ 3x3 3x1 + 3x₂ + 3x3 = I = 0 -3 0 is not in echelon form. 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. 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. C. The system is not in echelon form because not every equation has a leading variable. Correct Letter(s): Now write the system in echelon form. Equation 1: Equation 2: Equation 3: 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 S₁, S₂, etc. (x1,x₂, x3) =

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.5: Systems Involving Nonlinear Equations
Problem 8CQ
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The linear system 2x3 0 x₂ 3x3 -3 3x1 + 3x₂ + 3x3 = 0 = is not in echelon form. 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. I (x1, x₂, X3) = = 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. C. The system is not in echelon form because not every equation has a leading variable. Correct Letter(s): Now write the system in echelon form. Equation 1: Equation 2: Equation 3: 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 S₁, S₂, etc.
Transcribed Image Text:The linear system 2x3 0 x₂ 3x3 -3 3x1 + 3x₂ + 3x3 = 0 = is not in echelon form. 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. I (x1, x₂, X3) = = 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. C. The system is not in echelon form because not every equation has a leading variable. Correct Letter(s): Now write the system in echelon form. Equation 1: Equation 2: Equation 3: 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 S₁, S₂, etc.
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