Linear Algebra and the C Language/a03k

In mathematics, and in particular, algebra, a generalized inverse (or, g-inverse) of an element x is an element y that has some properties of an inverse element but not necessarily all of them... Wikipedia: Generalized inverse

You have the left inverse, when the matrix is ​​square or has more rows than columns. You have the right inverse, when the matrix is ​​not square or has more columns than rows.

The left inverse of A: Pinv_Rn_mR(); (More Rows than columns.)

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• A Pinv A = A
• Pinv A Pinv = Pinv

The right inverse of A: Pinv_Cn_mR(); (More Columns than rows.)

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• Extreme value
• A Pinv A = A
• Pinv A Pinv = Pinv

The code

• Pinv_Rn_mR(); Pinv_Cn_mR();

You can use the inverse function and the transpose function to compute the left inverse of a matrix.

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Use inv(A_TA)*A_T to calculate:

• The coefficients of a polynomial.
• The coefficients of a conic.
• The coefficients of a circle.

You can use the inverse function and the transpose function to compute the right inverse of a matrix.

• Random values
• Choose your values