Math Answers

3.4. Prove that any field is an integral domain.

3.3. If in a ring R every x ∈ R satisfies x² = x, prove that R

must be commutative

(A ring in which x² = x for all elements is called a Boolean ring).

3.1. If R is a ring and a, b, c, d ∈ R, evaluate (a + b)(c + d).

3.2. Prove that if a, b ∈ R, then (a + b)² = a² + ab + ba + b² where

by x² we mean xx.

according to a study conducted by the grade 12 student, php 175 is the average monthly expenses for cell phone loads of high school students in their province.aA statistics students claim that this amount has increased since January of this year .do you think his claim is acceptable if a random sample of 50 students has an average monthly expense of php164 for cellphone loads ? using 5% level of significance , assume that a population standard deviation is 53

1. Let x be a nilpotent element of a ring A. Show that 1 + x is a unit of A. Deduce 

that the sum of a nilpotent element and a unit is a unit. 

Solve the system of linear equations using matrix inverse method.

x-y+z=1

2y-z=1

2x+3y=1