Скачать или смотреть 2]Matrix Operations - Matrix Algebra | Engineering Mathematics

Basic operations on matrices are: scalar multiplication, negative of matrix, equality of matrix, addition of matrix, subtraction of matrix, matrix multiplication.

Scalar multiplication: If A is any matrix and K is any scalar number, then K.A is called scalar multiplication of matrix.

Negative of matrix: If A is given matrix, then matrix obtained by multiplying with scalar K=-1 is written as –A, and new matrix will have elements which are negative to the corresponding element of matrix A.

Equality of matrix: Two matrices A and B are equal if they are of same order and elements in corresponding positions of two matrices are equal.

Addition of matrix: Two matrices A and B can be added to each other, if they are of same order or dimensions. Thus they are conformable for addition.

Subtraction of matrix: If two matrices A and B are of same order, then their subtraction is defined as A-B or A+(-B)

Matrix Multiplication: Two matrices A and B are said to be conformable for product AB, if number of columns of A are equal to the number of rows of B.

All the above operations on matrices are explained with properties and examples.

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