Home ยป Updates ยป Matrix mathematics


An array of numbers is called the form of rows and columns. The matrices do not have any numerical value unlike determinants. Vectors represented by row or column matrices. A set of simultaneous algebraic equations can be solved more conveniently with the help of matrices. Cayley developed the algebra of matrices.
A matrix with m rows and n columns (m does not is equal to n) is called the rectangular matrix of order mxn and a matrix with number numbers rows equal to the number of columns (m is equal to n) is a called square matrix of order n*n. Zeros matrix is one in which all the elements are zero. A matrix may be denoted by a capital letter like is A=(a_ij), where aij is its element in the ith column. A squares matrix A will be called a diagonal matrix if a_ij=0 for i isn’t equal to j and a_ij=1= KA in which C_ij= Ka_ij Two matrices of the same order can be added by adding the corresponding element. Multiplication of a matrix by a scalar is given by C=kA in which C_ij for all i.j, Matrices A and B can be multiplied to form the product AB if the number of columns in A is the same number of rows in B. If A=(a_ij)txm, B=(b_ij) mxp. Then C=(C_ij) lxp, AB

where C_ij is equal to the summation of k=1 to m of (a_ik) (b_ki) for i=1,2โ€ฆโ€ฆ.. l

and j = 1,2,.., P.
The matrix multiplication is not commutative.