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Change matrix examples

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This commit is contained in:
Micke Nordin 2022-07-18 15:41:22 +02:00
parent e662c7bebd
commit 115cc01f79
Signed by: micke
GPG key ID: 014B273D614BE877
2 changed files with 48 additions and 44 deletions
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46
README.md
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@ -111,34 +111,36 @@ g++ -o matrix matrix.cpp
```
*output*
```
The matrix m:
| 7 | 6+i |
| 5 | 3 |
The matrix m roted by one pi radian:
| 6+i | 3 |
| 7 | 5 |
The matrix m
| 1 | 1 |
| 1 | 1 |
The determinant of matrix m:
-9-5i
The matrix m's transpose:
| 7 | 5 |
| 6+i | 3 |
The matrix m's diagonal:
| 7 |
| 3 |
The matrix m's off diagonal:
| 6+i |
| 5 |
The matrix n
0
The matrix n:
| 2 | 1+i |
| 1-i | 5 |
The matrix n roted by one pi radian:
| 1+i | 5 |
| 2 | 1-i |
The determinant of matrix n:
8
The matrix n's transpose:
| 2 | 1-i |
| 1+i | 5 |
The matrix n's diagonal:
| 2 |
| 5 |
The matrix n's off diagonal:
| 1+i |
| 1-i |
The matrix m * n
| 21-5i | 37+12i |
| 13-3i | 20+5i |
The matrix m is not hermitian, here is the hermitian conjugate:
| 7 | 5 |
| 6-i | 3 |
| 3-i | 6+i |
| 3-i | 6+i |
The matrix m + n
| 3 | 2+i |
| 2-i | 6 |
Is 2 an eigenvalue of m?
Yes!
The matrix n is hermitian, here is the hermitian conjugate:
| 2 | 1+i |
| 1-i | 5 |

46
matrix.cpp
View file

@ -2,21 +2,20 @@
int main() {
vector a = vector(2);
a[0] = cnumber(7, 0);
a[1] = cnumber(6, 1);
a[0] = 1;
a[1] = 1;
vector b = vector(2);
b[0] = cnumber(5, 0);
b[1] = cnumber(3, 0);
b[0] = 1;
b[1] = cnumber(1, 0);
vector c = vector(2);
c[0] = cnumber(2, 0);
c[0] = 2;
c[1] = cnumber(1, 1);
vector d = vector(2);
d[0] = cnumber(1, -1);
d[1] = cnumber(5, 0);
d[1] = 5;
matrix m = matrix(2, 2);
m[0] = a;
@ -26,30 +25,33 @@ int main() {
n[0] = c;
n[1] = d;
cout << "The matrix m:" << endl;
cout << "The matrix m" << endl;
cout << m << endl;
cout << "The matrix m roted by one pi radian:" << endl;
cout << m.rotate_by_one_pi() << endl;
cout << "The determinant of matrix m:" << endl;
cout << m.determinant() << endl;
cout << "The matrix m's transpose:" << endl;
cout << m.transpose() << endl;
cout << "The matrix m's diagonal:" << endl;
cout << m.get_diagonal() << endl;
cout << "The matrix m's off diagonal:" << endl;
cout << m.get_off_diagonal() << endl;
cout << "The matrix n" << endl;
cout << "The matrix n:" << endl;
cout << n << endl;
cout << "The matrix n roted by one pi radian:" << endl;
cout << n.rotate_by_one_pi() << endl;
cout << "The determinant of matrix n:" << endl;
cout << n.determinant() << endl;
cout << "The matrix n's transpose:" << endl;
cout << n.transpose() << endl;
cout << "The matrix n's diagonal:" << endl;
cout << n.get_diagonal() << endl;
cout << "The matrix n's off diagonal:" << endl;
cout << n.get_off_diagonal() << endl;
cout << "The matrix m * n" << endl;
cout << m * n << endl;
if (!m.is_hermitian()) {
cout << "The matrix m is not hermitian, here is the hermitian conjugate:"
<< endl;
cout << m.hermitian_conjugate() << endl;
cout << "The matrix m + n" << endl;
cout << m + n << endl;
cout << "Is 2 an eigenvalue of m?" << endl;
if (m.is_eigenvalue(2)) {
cout << "Yes!" << endl;
} else {
cout << "No!" << endl;
}
if (n.is_hermitian()) {
if (n.is_hermitian()) {
cout << "The matrix n is hermitian, here is the hermitian conjugate:"
<< endl;
cout << n.hermitian_conjugate() << endl;