Python | Numpy np.legcompanion() method

`np.legcompanion()` method is used to return the companion matrix of legendre series.

Syntax : `np.legcompanion(c)`
Parameters:
c :[array_like] 1-D arrays of legendre series coefficients ordered from low to high.

Return : [ndarray] Companion matrix of dimensions (deg, deg).

Code #1 :

 `# Python program explaining ` `# numpy.legcompanion() method  ` `   `  `# importing numpy as np   ` `# and numpy.polynomial.legendre module as geek  ` `import` `numpy as np  ` `import` `numpy.polynomial.legendre as geek ` `   `  `# Input legendre series coefficients ` ` `  `s ``=` `(``2``, ``4``, ``8``)  ` `    `  `# using np.legcompanion() method  ` `res ``=` `geek.legcompanion(s)  ` ` `  `# Resulting Companion matrix ` `print` `(res)  `

Output:

```[[ 0.          0.28867513]
[ 0.57735027 -0.33333333]]
```

Code #2 :

 `# Python program explaining ` `# numpy.legcompanion() method  ` `   `  `# importing numpy as np   ` `# and numpy.polynomial.legendre module as geek  ` `import` `numpy as np  ` `import` `numpy.polynomial.legendre as geek ` `   `  `# legendre series coefficients ` `s ``=` `(``1``, ``2``, ``3``, ``4``, ``5``)  ` ` `  `   `  `# using np.legcompanion() method  ` `res ``=` `geek.legcompanion(s)  ` ` `  `# Resulting Companion matrix ` `print` `(res)  `

Output:

```[[ 0.          0.57735027  0.         -0.30237158]
[ 0.57735027  0.          0.51639778 -0.34914862]
[ 0.          0.51639778  0.          0.10141851]
[ 0.          0.          0.50709255 -0.45714286]]
```

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