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61 lines
1.4 KiB
61 lines
1.4 KiB
#include "matrix.hpp"
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int main() {
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vector a = vector(2);
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a[0] = 1;
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a[1] = 1;
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vector b = vector(2);
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b[0] = 1;
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b[1] = cnumber(1, 0);
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vector c = vector(2);
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c[0] = 2;
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c[1] = cnumber(1, 1);
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vector d = vector(2);
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d[0] = cnumber(1, -1);
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d[1] = 5;
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matrix m = matrix(2, 2);
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m[0] = a;
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m[1] = b;
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matrix n = matrix(2, 2);
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n[0] = c;
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n[1] = d;
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cout << "The matrix m" << endl;
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cout << m << endl;
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cout << "The determinant of matrix m:" << endl;
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cout << m.determinant() << endl;
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cout << "The matrix n:" << endl;
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cout << n << endl;
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cout << "The matrix n roted by one pi radian:" << endl;
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cout << n.rotate_by_one_pi() << endl;
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cout << "The determinant of matrix n:" << endl;
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cout << n.determinant() << endl;
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cout << "The matrix n's transpose:" << endl;
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cout << n.transpose() << endl;
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cout << "The matrix n's diagonal:" << endl;
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cout << n.get_diagonal() << endl;
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cout << "The matrix n's off diagonal:" << endl;
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cout << n.get_off_diagonal() << endl;
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cout << "The matrix m * n" << endl;
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cout << m * n << endl;
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cout << "The matrix m + n" << endl;
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cout << m + n << endl;
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cout << "Is 2 an eigenvalue of m?" << endl;
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if (m.is_eigenvalue(2)) {
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cout << "Yes!" << endl;
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} else {
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cout << "No!" << endl;
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}
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if (n.is_hermitian()) {
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cout << "The matrix n is hermitian, here is the hermitian conjugate:"
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<< endl;
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cout << n.hermitian_conjugate() << endl;
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}
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return 0;
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}
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