# Matrix Formulas

**Matrix Formulas**

In mathematics the word ‘Matrix’ meansĀ the rectangular array of numbers , symbols and expression. In order to know more about matrix click here.

**Some important formulas of matrix are listed below:-**

1. Transpose matrix A = is a matrix then it’s transpose martis is

A’=

2. Zero matrix =(0,0), , etc.

3. unit matrix = , etc.

4. Equal matrices; If A = and B =

Then A = B if and only if a=x, b=y, c=z and d=u

i.e. corresponding elements of the two matrices are equal.

5. Addition and subraction of matrices:

6. Multiplication of a matrix by a vector:

7. Multiplication of two matrices:

Note: Multiplication of two matrices exists if Number of row of first matrix is equal to number of column to another matrix..

8. Idempotent matrix: A square matrix A Is called idempotent if

9. A = Determinant of A is

10. Inverse of matrix A = is

11. Equation in matrix form:

ThenĀ

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