matrix subtraction tutorial

The Properties of Matrices are: Commutative property, Distributive property, Associative property, additive inverse property. Zero matrix possesses identity property of additio..

(1) A + B = B + A (Commutative property) (2) k(A + B) = kA + kB (Distributive property) (3) (A + B) + C = A + B + C (Distributive property) (4) (A + B) + C = A + (B + C) (Associative property) A + O = O + A = A where O is zero or null matrix. A = A + O (5) A + (-A) = O (-A is additive inv..

A matrix of order m x n whose elements are all 0 is called a null matrix (or zero matrix) of order m x n. It is usually denoted by O or more clearly [O] m , n..

If any number is subtracted from both sides of an equation, then the equality of the equation remains unchanged. i.e., if x = y, then x - a = y ..

Subtraction of Matrices - Two matrices can be subtracted in the same way as they are added. We change the signs of the corresponding elements and then add them. If then If and , th..

For two matrices A and B of the same order, we define A-B = A+(-B..

A scalar matrix is a diagonal matrix in which all the diagonal elements are equa..

A matrix having only one row is called a row-matrix. For example: A[1 3 2 -2] is a row matrix of order 1 x..

A square matrix A is said to be singular if |A| = ..

It is a rectangular array of numbers, arranged in rows and columns. The number of rows (say m) and the number of columns (say n) determine the order of the matrix. It is written as m x n (to be read as m by n). The plural of matrix is matrices. Matrix is usually denot..