The major mathematical actions undertaken with matrices include addition, subtraction, multiplication, and finding the inverse. However, prior to adding or subtracting two matrices, their dimensions must be identical. To get the product, simply combine the matching elements in each position. When multiplying matrices, the rules differ from normal arithmetic. If you want to multiply an m x n matrix by an n x p matrix, the first matrix’s column count needs to match the second matrix’s row count. The result will be an m x p matrix. There exist specific techniques for multiplying the entries to calculate the final product. For a square matrix, provided it exists, the inverse is the matrix which, when multiplied by the original, yields the identity matrix. Not all square matrices have inverses. Discovering the inverse necessitates dividing by determinants and cofactors—more complex linear algebra ideas.