14. Use Gauss-Jordan elimination to solve the following linear system: -3x + 4y = -6 5x - y = 10 O A. (2,0) O B. (2,-5) OC. (-6,2) O D. (2.2)

Q: Solve the following homogeneous recurrence equation and obtain the general solution and the solution…

A: Step 1:Step 2:

Q: 6- Use Fermat's little theorem to find 9934 mod 31 and 13282 mod 23 Answer one of following (7 or 8)…

A: Fermat's Little Theorem states that if "p" is a prime number and "a" is an integer not divisible by…

Q: 14. Use Gauss-Jordan elimination to solve the following linear system: -3x + 4y = -6 5x - y = 10 O…

A: Equations given:-

Q: Given that h(p)=p2−3p+5, Find;h(x-3)

A: Given: h(p)=p2 + 3p + 5 then, by putting p=x-3 h(x-3) = (x-3)2 + 3(x-3) + 5           = x2 + 32…

Q: 7. Use Gauss-Jordan elimination to solve the following linear system. X- 2z = 9 6x - 2y-5z 29 -5x +…

A: B. (3,2,-3)   To prove it, Lets put the values in ny equation: x-2z=9 3-(2×-3)=9 3+6=9   Hence…

Q: F(A,B,C)=A'B'+ABC'

A: De Morgan's Theorem is a fundamental concept in Boolean algebra that provides a way to simplify…

Q: Verify that the given differential equation is not exact. (x² + 2xy - y²) dx + (y² + 2xy = x²) dy =…

A: The answers are marked with boxes.

Linear Programming Concepts

Linear programming is a famous mathematical modeling tool for determining the best distribution of scarce resources among competing demands. Machinery, time, personnel, raw materials, money, and space are all resources. It is used to find the most optimal solution to a problem with given constraints. The real-life situations can be formulated using linear programming concepts into a mathematical model. Linear programming problems consist of an objective function and linear equalities subjected to constraints.