Determinants are useful to know characteristics of the matrix determinant of matrix em over here.
Having values, A, B, C, D.
Is equal to.
A, B minus B, C determinant of an identity matrix is equal to one.
There is something called Trace of the Matrix.
So what is a trace of the Matrix?
This is nothing, but you sum up all the elements present in the main diagonal.
In this case, it is a plus day, so basically you sum up all the elements present in the main diagonal
of the Matrix.
Here comes the turning point of our quantum mechanics.
This equation is one of the most important equation to study quantum computing and quantum mechanics
in depth.
This equation simplifies our life in understanding or measuring quantum state.
You remember?
We discussed her mission matrix in our mattresses class, where we saw that if a matrix it is equal
to.
At Magwood.
Or we even call it as a joint of Matrixx at its called Lesser Mission Matrix.
Now, there is a mathematical formula which states that for a commission matrix, it multiplied by the
get vector A.
It's equal to.
Some real number multiplied by the same get Victor.
Here the Kate Victor is Tom as the eigenvector.
And LAMDA, which is a real number and ordinary real number, is an igun value.
Now, what we discussed is Asper mathematics, what is the meaning in physics?
Of this particular equation.
Here it.
Expert quantum physics is unmeasurable or an observable for the state.
Great victory is actually the state of the system.
And LAMDA.
Is the result being absorbed?
Let's see the photon polarization mechanism.
And see how this equation can be applied over there in the next videos.
Jess.