Matrices Theorem and Proof asked in exam

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[I/II]MATHS- 4
Topics covered are:
1. Eigenvalues & Eigenvectors
* Cayley - Hamilton Theorem
* Derogatory & Non - Derogatory Matrices
* Function of Square Matrix
* Eigenvalues & Eigenvectors
* Diagonalizable Matrix
* Theorems & Proofs
2. Probability
* Probability & Mathematical Expectation
* Some Standard Distributions
* Binomial Distribution
* Poisson Distribution
* Normal Distribution
* Bayes' Theorem
3. Complex Integration
* Complex Integration
* Cauchy's Theorem
* Taylor's & Laurent's series
* Residues
4. Sampling
* Large Sample Test
* Small Sample Test
* Independence of Attributes
* Goodness of Fitting
5. Non - Linear Programming
* Type 1: Inequality with one subjected condition ( Kuhn - Tucker)
* Type 2: Inequality with two subjected conditions ( Kuhn - Tucker )
* Type 3: No subjected condition
* Type 4: Equality with one subjected condition
* Type 5: Equality with two subjected conditions

[II/II]Module Name- Eigenvalues and Eigenvectors ( Matrices )
Topics Covered are:-
* Cayley Hamilton Theorem ( CS Theorem )
* Derogatory and Non Derogatory Matrices
* Function of Square Matrices
* Eigenvalues and Eigenvectors
* Diagonalizable and Non - Diagonalizable Matrix
* Theorems and Proofs asked in exams

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