Algebraic and geometric multiplicity

this ppt is on topic of algebraic and geometric multiplicity which is VCLA subject.

1. Algebraic And Geometric Multiplicity Prepared by: YASH PATEL

2.   Eigen Value & Eigen Vector

3. If the eigen value λ of the equation det (A- λ I)=0 is repeated n times then n is called the algebraic multiplicity of λ . Algebraic Multiplicity

4. The number of linearly independent eigen vectors is the difference between the number of unknowns and the rank of the corresponding matrix A- λ I and is known as geometric multiplicity of eigen value λ . Geometric Multiplicity

5.   Example

9. THANK YOU