The following code generates 100 2 times 2 matrices with int

The following code generates 100 2 times 2 matrices with integer coefficients in the ranges k = 1, 2, ..., 20. For each fixed k, it finds the percent that are singular. What do the values of the answer percent tell you about the percent of matrices that are singular as k increases? Repeat the experiment for 3 times 3 matrices. What can you say about the percent of singular matrices in this case? What does this indicate about the percent of singular matrices as the size of the matrix increases?

Solution

R is an implementation of the S programming language combined with lexical scoping semantics inspired by Scheme.^[11] S was created by John Chambers while at Bell Labs. There are some important differences, but much of the code written for S runs unaltered.^[12]

R was created by Ross Ihaka and Robert Gentleman^[13] at the University of Auckland, New Zealand, and is currently developed by the R Development Core Team, of which Chambers is a member. R is named partly after the first names of the first two R authors and partly as a play on the name of S.^[14] The project was conceived in 1992, with an initial version released in 1995 and a stable beta version in 2000