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Properties of Matrix Algebra

AI=IA=A

Zero Matrix

A0=0A=0

A + 0 = A

Transpose Matrix

(AB)= B A

Matric Algebra

Multiplication

Matrices

Scalar

Subtraction

Addition

Determinant

Finding Determinant

Diagonal Method

3x3

2x2

det A=|A|

sum of |A|

Elementary Row Operation

Add k times to another row

Multiply any row =0

Interchange any 2 rows

Inverse Matrix

Determinant = 0

Denoted as A

Unique

Only for square matrix