One large jar and three small jars together can hold 14 ounces of jam. One large jar minus one small jar can hold 2 ounces of jam. Set up the coefficient matrix, variable matrix, and solution matrix that could be used to determine how many ounces of jam are in each type of jar. Show or explain all necessary steps.
a) Coefficient matrix:
[[1, 3], [-1, 1]]
b) Variable matrix:
[[L], [S]]
c) Solution matrix:
[[14], [2]]
d) Explanation of Gaussian elimination steps required for solution.