MATLAB ASSIGNMENT 2. Find the solution(s) of the following linear systems. Use t
ID: 3851035 • Letter: M
Question
MATLAB ASSIGNMENT
2. Find the solution(s) of the following linear systems. Use the MATLAB command rref to immediately find the reduced row echelon form of a matrix. Enter the coefficient matrix A and vector b. When entering the vector b, type b=[b1 b2 b3]'. The ' indicates transpose and changes b from a row vector to a column vector. Type rref([A b]). This is asking for the reduced row echelon form of the augmented matrix [A b]. For each system write by hand all solutions (or state that there is no solution) on your printout near the problem.
(a)
2x1
+
x2
+
3x3
+
2x4
=
-4
-x1
-
x3
+
x4
=
2
3x1
-
2x2
+
x3
+
4x4
=
-21
4x1
+
7x2
+
5x3
+
4x4
=
12
(b)
2x1
+
6x2
-
3x3
-
x4
+
18x5
+
2x6
=
-103
x2
+
3x3
+
4x4
+
12x5
+
9x6
=
-61
-2x1
+
3x2
-
5x5
+
6x6
=
63
-x1
+
7x2
+
8x3
+
12x4
+
39x5
+
x6
=
-208
7x1
+
4x2
-
3x3
+
5x4
+
66x5
=
-469
(c)
2x1
+
6x2
-
3x3
=
-1
x2
+
x3
=
4
-2x1
+
3x2
=
0
-x1
+
7x2
+
8x3
=
12
7x1
+
4x2
-
3x3
=
5
(d)
x1
-
x2
+
x3
-
x4
=
0
x1
+
2x2
-
3x3
+
4x4
=
0
3x1
-
x2
+
2x3
+
4x4
=
0
-
x2
-
x3
+
2x4
=
0
2x1
+
x2
+
3x3
+
2x4
=
-4
-x1
-
x3
+
x4
=
2
3x1
-
2x2
+
x3
+
4x4
=
-21
4x1
+
7x2
+
5x3
+
4x4
=
12
Explanation / Answer
a) {-3,4,0,-1}
b)solution does not exist, as there are 6 variables and only 5 equations
c)solution does not exist, as solution of any set of three equations is contradicting with the other
d){0,0,0,0}
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