Linear Algebra and the C Language/a03k

__NOTOC__ Become Familiar with the concept of pseudo-inverse. 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.) Random values Choose your values Extreme value A Pinv A = A Pinv A Pinv = Pinv The right inverse of A: Pinv_Cn_mR(); (More Columns than rows.) Random values Choose your values Extreme value A Pinv A = A Pinv A Pinv = Pinv Code study The code Pinv_Rn_mR(); Pinv_Cn_mR(); The left Inverse with: inv(A_TA) A_T You can use the inverse function and the transpose function to compute the left inverse of a matrix. Random values Choose your values Use inv(A_TA)*A_T to calculate: The coefficients of a polynomial. The coefficients of a conic. The coefficients of a circle. The right Inverse with: A_T inv(AA_T) You can use the inverse function and the transpose function to compute the right inverse of a matrix. Random values Choose your values