PolymathPlus Report
📑 Linear Equations
2022-04-01 18:49
# Example 2 - Linear Eqs.
# Biological Reactors
# Verified Solution: a = 0.231648, b = 0.163132,
# c = 0.652529 # d=0.59217, e = 0.347471
# Ref.:Prob. 2.3 in Problem Solving in Chemical...
c
+
e
=
1
3
*
b
-
2
*
c
-
2
*
d
=
-2
2
*
a
-
0.27
*
c
-
d
-
2
*
e
=
-1
b
=
0.25
*
c
1.5
*
a
=
e
Linear equations solution
Variable
Value
1
c
0.65252855
2
e
0.34747145
3
b
0.16313214
4
d
0.59216966
5
a
0.23164763
Linear equations
+
c
e
=
1
−
−
3
b
2
c
2
d
=
−
2
−
−
−
2
a
0
.
2
7
c
d
2
e
=
−
1
b
=
0
.
2
5
c
1
.
5
a
=
e
Coefficients matrix and beta vector
c
e
b
d
a
beta
1
1
1
0
0
0
1
2
-2
0
3
-2
0
-2
3
-0.27
-2
0
-1
2
-1
4
-0.25
0
1
0
0
0
5
0
-1
0
0
1.5
0
General
Number of equations: 5
Reporting digits: 10