Adding Matrices Online Tutoring - Maths Tutors

Adding Matrices Online Tutoring - Maths Tutors Matrices are the plural form of matrix. A matrix is a rectangular array numbers arranged in rows and columns. If m x n numbers are arranged in a rectangular array of m rows and n columns, it is called, it is called a matrix of m by n or a matrix of dimension m x n or a matrix of type m x n. Types of matrices: - Rectangular matrix Square matrix Row and column matrix Null matrix or zero matrix Diagonal matrix and unit or identity matrix Equality of matrices Singular and non- singular matrices Transpose of a matrix Symmetric and skew-symmetric matrices Co-efficient matrix and augmented matrix Operations of matrices Scalar multiplication of a matrix Addition and subtraction of matrices Multiplication of matrices. Lets discuss the addition of matrices. The addition of two matrices A and B is defined if and only if they are of the same order. If A and B are two matrices each of order m x n , then their sum A + B is also a matrix of order m x n, whose elements are obtained by adding the corresponding elements of A and B. Example1: - If A = |1 3| and B= |6 5| |2 4| |8 7| Find A + B. Solution: - A + B= |1+6 3+5| =|7 8| |2+8 4+7| |10 11| Example2: - Find |2 4 -3| + |-7 3 6| |6 5 1| | -2 1 5| Solution: - |2+ (-7) 4+3 -3+6| =|-5 7 3| |6+ (-2) 5+1 1+5 | |4 6 6|