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.
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.
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] .
Related questions
Question
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4792360-22b4-40c0-a48a-02ce03c9f6f7%2F6d906019-6d81-48d7-a480-d5988e90307c%2Fc6krxy_processed.png&w=3840&q=75)
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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