Question: LU factorization, R studio * The solve() function is useful to solve the system of equation, Ax = b. In addition to solve(), functions like
LU factorization, R studio
* The solve() function is useful to solve the system of equation, Ax = b.
In addition to solve(), functions like backsolve() and forwardsolve() are more efficient when A is upper triangular and lower triangular, respectively.
Consider the least squares estimator in linear regression models,
, which is the solution to the equation,

Apply the LU factorization on
, and use backsolve() and forwardsolve() to recover the least squares estimator displayed below.

B (XX) = X"y. XX > data (mpg, package 'ggplot2') > coef (fit data (mpg, package 'ggplot2') > coef (fit
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