Matrix Lib Update
I have updated the Matrix Library to make it more useful. Mainly, I’ve removed the 2×2 limitations from calculating determinants and finding inverses. I also added several new functions:
isSize: Checks the size of a matrix by rows and columns
newMatrix: Creates a new matrix of the specified size
transpose: Transposes the given matrix (rows -> cols)
augment: Augments A with matrix B -> AB
multRow: Multiplies the given row by constant k, k != 0
multRowAdd: Multiplies the source row by constant k, k != 0
then adds that row to the dest row
swapRow: Swaps row i with row j
ref: Uses Gauss elimination to reduce to row-echelon
format
rref: Uses Gauss-Jordan elimination to reduce to
reduced-row-echelon format
swapCol: Swaps column i for column j
delCol: Deletes the specified column
delRow: Deletes the specified row
minor: Returns the row minor, Mij
The most important additions were the elementary row operations, multRow, swapRow and multRowAdd – these were used to implement the row-echelon reduction methods. det(), ref() and rref() are the most *interesting* additions, although, I think the algorithms are not very efficient.
