Matrices

A matrix is a rectangular array

A matrix is a rectangular array of numbers arranged in rows and columns. The order of a matrix is written as m×n where m is the number of rows and n i

Key matrix types include

Key matrix types include: Row matrix (1×n), Column matrix (m×1), Square matrix (m×m), Diagonal matrix (square with non-zero elements only on main diag

Two matrices can be added

Two matrices can be added or subtracted only if they have the same order. Addition is performed by adding corresponding elements: If A = [a_ij] and B

When a matrix is multiplied by

When a matrix is multiplied by a scalar k, each element of the matrix is multiplied by k. If A = [a_ij], then kA = [k·a_ij]. For example, if A = [2 -1

Matrix multiplication AB is possible only

Matrix multiplication AB is possible only when the number of columns in A equals the number of rows in B. If A is m×p and B is p×n, then AB is m×n. Th