58 lines
1,011 B
Markdown
58 lines
1,011 B
Markdown
## Matrix
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Matrix(l: list[list[complexe]])
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- l: representation of the matrix in a list
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### Attributes
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- ```__m: list[list[complexe]]```
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the values contained in the matrix.
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- ```__size: tuple[int, int]```
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the size of the matrix
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### Methode
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- ```__init__(l: list[list[complex]]=[]) -> None```
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initiates the matrix
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- ```__mul__(__value: "Matrix") -> Matrix```
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defines the natural multiplication as the Koeneger product for matrices
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- ```__apply(x: list[complex]) -> list[complex]```
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takes a list to represent a vector in a colonne, and return the proctuct of the matrix by this vector
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- ```__str__() -> str```
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returns a string representation of the matrix
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### Staticmethods
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- ```I() -> Matrix```
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returns the matrix
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```math
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\begin{pmatrix}
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1 & 0\\
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0 & 1
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\end{pmatrix}
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```
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- ```H() -> Matrix```
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returns the matrix
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```math
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\begin{pmatrix}
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\frac1\sqrt 2 & \frac1\sqrt 2\\
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\frax1\sqrt 2 & -\frac1\sqrt 2
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\end{pmatrix}
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```
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