Linear Algebra Answers

Is ( 3, 4, -2 ) a solution of the following system or not?

5x - y + 2z = 7

-2x + 6y + 9z = 0

-7x + 5y + 3z = -7

Solve the following question by using Gauss elimination. And Gauss Jordan method.

2x + 7y + z = 14

X + 3y - z = 2

X + 7y + 12z = 45

Find the product of the following question.

A=( 1 2 3 4) B = ( 1 2 3

( 5 6 7 8 ) ( 4 5 6

( 7 8 9

( 10 11 12 )

Consider the system of equations

11 2x1 + x2 + 4x3 =

3x1 + x2 + 5x3 =14

A feasible solution is x1 = ,2 x2 = ,3 x3 = .1 Reduce this feasible solution to a basic

feasible solution.

1. Determine P(∅). 2. Determine P({1}). 3. Determine P({1, 2, 3}).  

The Solfel Dynamic Frames creates two kinds of frame, wooden frame and metal frame. Each frame is processed under two machines, M1 and M2. Machine M1 has a maximum of 250 hours to be used per production and machine M2 has a maximum of 200 hours. Each wooden frame requires 2 hours to be processed in M1 and 2.5 hours in M2. Each metal frame requires 1.5 hours in M1 and 1 hour in M2. Profit is P 500 for a wooden frame and P 400 for a metal frame. Determine the number of wooden frame and metal frame to be produced to obtain a maximum profit if wooden frame must not exceed 20 pcs for each production. 

Find the conditions on a, b, and c so that the following linear system of equations have a solution.

x + 2y − 3z = a

2x + 6y − 11z = b

2x − 4y + 14z = 2c

Find the conditions on a, b, and c so that the following linear system of equations have a solution.

−2x + y + z = a

x − 2y + z = b

x + y − 3z = c

Find the inverse of the matrix using echelon reduction method .

x + 3y - z =0

x + y + z = 1

-x + 2y - z = 1

Find the root of the equation x^2 - 3 = 0 using the bisection method.

1) correct to the four decimal places.