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Substitution, transposition, and XOR.
Please clarify what you want to "solve". There are several operations you can do with matrices, such as add them, multiply them, transpose them, etc.
In the context of matrix algebra there are more operations that one can perform on a square matrix. For example you can talk about the inverse of a square matrix (or at least some square matrices) but not for non-square matrices.
They are alike in so far as they are properties of binary operations on elements of sets. T The associative property states that order in which operations are evaluated does not affect the result, while the commutative property states that the order of the operands does not make a difference. Basic binary operators are addition, subtraction, multiplication, division, exponentiation, taking logarithms. Basic operands are numbers, vectors, matrices.
The basic 4 operations are: addition, subtraction, division and multiplication.