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Addition of Matrices
  Addition of Matrices,  IMAGE...
  Properties of Matrix Addition
  Matrix Subtraction
  Scalar Multiplication

Addition of Matrices

Addition of Matrices,  IMAGE...

Let  IMAGE... ,  IMAGE... and  IMAGE... ,

if two matrices are of the same order,  IMAGE... &  IMAGE... then  IMAGE... where  IMAGE... ,  IMAGE... and  IMAGE... . For example,

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Properties of Matrix Addition

 IMAGE... (commutativity of addition)

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The associative property of matrix addition can be extend to any finite number of matrices. Besides the parentheses may be omitted also.

Matrix Subtraction

The inverse operation of matrix addition is subtraction. Let the elements of (-A) are the negatives of the corresponding elements of A. The addition is then

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Therefore the identity under matrix addition is the zero matrix, that is

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Scalar Multiplication

The multiplication of a matrix by a scalar k is

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where every element of A is multiplied by the scalar k is,

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ID: 100800002 Last Updated: 8/3/2010 Revision: 0


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