Matrices

A matrix is a rectangular arrangement

A matrix is a rectangular arrangement of numbers in rows and columns. A matrix with m rows and n columns has order m×n. For example, a 3×2 matrix has

Key types include

Key types include: Row Matrix (1×n - single row), Column Matrix (m×1 - single column), Square Matrix (m×m - equal rows and columns), Identity Matrix (

Two matrices are equal if they

Two matrices are equal if they have the same order and all corresponding elements are equal. If A = [aij] and B = [bij], then A = B only when aij = bi

Matrices can be added or subtracted

Matrices can be added or subtracted only if they have the same order. The operation is performed by adding/subtracting corresponding elements. The res

When a matrix is multiplied by

When a matrix is multiplied by a scalar (number), every element of the matrix is multiplied by that scalar. The resulting matrix has the same order as