Linear Algebra Friedberg Solutions

Introduction :

Fried berg linear algebra is mainly used to find the solution of linear equations in some unknowns. Fried berg Linear algebra has a demonstration in analytic geometry and is generalized in operator theory. Fried berg linear algebra associates with the families of vectors called vector spaces, and with functions contain one input vector and output another vector, according to rules and regulations. Fried berg Linear algebra deals with the theory of systems of linear equations, vector spaces and matrices.

Fried berg Linear Algebra Example Problems with Solutions:-

Ex 1:

Solve the linear equation -4(-x - 4) = 5x - 35

Sol:

Given -4(-x - 4) = 5x - 35

Multiply factors in left term

4x + 16 = 5x - 35

Subtract 16 to both sides

4x + 16 - 16 = 5x - 35 - 16

Group like terms

4x = 5x - 51

Subtract 5x to both sides 4x - 5x = 5x - 51 -5x

Group like terms

-x = - 51

Now divide it by - on both sides

We get

x = 51 is the solution for the given question.

Ex 2: 

Solve the linear equation -2(2x - 0) - 4x  +8 = (x - 4) - 20x

Sol

Given

-2(2x - 0) - 4x + 8 = (x - 5) - 20x

Multiply factors

-4x + 0 - 4x + 8 = x - 5 - 20x

Group like terms

-8x +8 = -21x - 5

Subtract 8 to both sides

-8x + 8 - 8 = -21x -5 -8

Group like terms

-8x = -21x -13

Add 21x to both sides

13x  = -13


13x = -13

Now divide it by 13 on both sides

13x/13 = -13/13

x = -1

Fried berg Linear Algebra Practice Problems:

1) Solve the linear equation -5(-x ) = 5x – 4

Answer:- no solution

2) Solve the linear equation -(x - 4) - 5x - 6 = (6x + 6) - 6x

Answer:- x = -4/3

3) Solve the linear equation -2(2x - 5)  = (8x + 6) - 6x - 6

Answer: - x = 5/3