4. Consider the following system of equations with real coefficients: -3x1 x1 - +6x2 2x2 2x3 +6x4 +x3 = -10 = 7 - X3 -2x4 = 1 (a) Write down the associated augmented matrix. (b) Find the Reduced Row Echelon Form (RREF) of the augmented matrix found in (a). Write down the elementary row operations used to do the row reduction. (c) Find the general solution to the system of equations.

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 15CT
Question

Please see the picture for the question

4. Consider the following system of equations with real coefficients:
-3x1
x1
-
+6x2
2x2
2x3 +6x4
+x3
=
-10
=
7
-
X3
-2x4
=
1
(a) Write down the associated augmented matrix.
(b) Find the Reduced Row Echelon Form (RREF) of the augmented matrix found in (a). Write down
the elementary row operations used to do the row reduction.
(c) Find the general solution to the system of equations.
Transcribed Image Text:4. Consider the following system of equations with real coefficients: -3x1 x1 - +6x2 2x2 2x3 +6x4 +x3 = -10 = 7 - X3 -2x4 = 1 (a) Write down the associated augmented matrix. (b) Find the Reduced Row Echelon Form (RREF) of the augmented matrix found in (a). Write down the elementary row operations used to do the row reduction. (c) Find the general solution to the system of equations.
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