Matrix manipulation in R are very useful in Linear Algebra. Below are lists of common yet important functions in dealing operations with matrices:
- Transpose – t
- Multiplication – %*%
- Determinant – det
- Inverse – solve, or ginv of MASS library
- Eigenvalues and Eigenvectors – eigen
Transposing these, simply use t
Now multiplying these two matrices, that would be
For the determinant, we have
Taking the inverse of matrix1 is achieved by solve or ginv R functions. Note that ginv is in MASS package,
And finally, for eigenvalues and eigenvectors simply use eigen
The output above returns the $values, which is the eigenvalues, and $vectors, the eigenvectors.
More about matrix here.