a) Write the system of equations x1 + 2x2 + 3x3 x1 + x2 + x1 + 4x2 in matrix notation and as a vector equation. = 1 = 2 x3 +7x3 = 1 b) Write the augmented matrix of the system of equations x1 + 2x2 + 3x3 = x1 + x2 + x3 = x1 + 4x2 + 7x3 = 0 0 0.

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.5: Solve Systems Of Equations Using Matrices
Problem 4.76TI: Write the system of equations that corresponds to the augmented matrix: [111423181113] .
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Solve the two questions below:

a) Write the system of equations
X1
X1 +
x1
2x2 +
+
X2
+
+ 4x2 +
+ 2x2
in matrix notation and as a vector equation.
b) Write the augmented matrix of the system of equations
x1 + 2x2
x1 +
x1 + 4x2
X2
3x3 =
X3
=
7x3
+
2x2 + + 3x3 =
+
=
X3
7x3
=
=
1
2
1
0
0
0.
Transcribed Image Text:a) Write the system of equations X1 X1 + x1 2x2 + + X2 + + 4x2 + + 2x2 in matrix notation and as a vector equation. b) Write the augmented matrix of the system of equations x1 + 2x2 x1 + x1 + 4x2 X2 3x3 = X3 = 7x3 + 2x2 + + 3x3 = + = X3 7x3 = = 1 2 1 0 0 0.
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