problem 1:
a) Define the given terms with:
• Determinant of Matrix
• Idem potent Matrix
• Characteristic roots of a Matrix
• Derivative of a Matrix
b) Describe the rank under conditions of a linear model in deciding its uniformity.
problem 2:
a) State and prove the Cuctroms theorems.
b) Describe the role of Cornley – Hamilton theorem.
problem 3:
a) State and prove the Gauss-Markov theorem.
b) What is the estimability of the parametric function? Describe with an illustration.
problem 4:
a) Describe the testing procedure related with the equality of K means.
b) Describe the F-test related with the analysis of covariance with one way classified data.