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...r eigen(x) ? A zero determinant (within computer precision) means that the matrix does not have full rank, i.e. it does not span R4. Count how many eigenvalues are zero (within computer precision). What does this tell you? > In the Solutions Manual, there is mention of the gauss() and >bgauss() functions which apparently written by Lay - these are to >speed up matrix reduction but I have not noticed these functions in R. Have you encountered speed problems in R? Do you really need these functions in R in addition to solve(), backsolve() etc. ? If you just want to learn about how t...