QUESTION 1 1. Systems of linear equations - Matrix Theory Let us consider the following system of linear equations (2r + y – z = 1 4.x + 2y – 2z = 2 ( 6x +3y – 3z = 3 Calculate the ranks of incomplete and complete matrices associated with the system. On a. the basis of the calculated ranks assess whether or not the system is compatible. b. Calculate, if possible, the solution or the solutions satisfying the system of linear equations. If the system allows multiple solutions calculate the number of solutions satisfying the system. c. If the known terms are changed and the system of linear equations is (2r + y – z = 0 4x + 2y – 2z = 0 6x + 3y – 3z = 0 calculate the rank of the complete matrix and calculate, if possible, the solution or the solutions satisfying the system of linear equations. If the system allows multiple solutions calculate the number of solutions satisfying the system.

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.