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Solve the system using Gaussian elimination

0 votes

asked Dec 6, 2016 in PRECALCULUS by anonymous

5 Answers

0 votes

(1)

Step 1:

The system of linear equations are image

Write the equations into matrix form .

 is coefficient matrix,  is variable matrix and  is constant matrix.

image

Solve the equations in Gaussian elimination method.

The augmented matrix is .

image

  are represents first row and second row.

Eliminate second row and first coloumn.

image

image

Eliminate first row and second coloumn.

image

image

image

Solution:

The system of equations values are image

answered Dec 7, 2016 by Anney Mentor
0 votes

(2)

The addition matrix is

image

Simplify the matrix operation.

image

image

answered Dec 7, 2016 by Anney Mentor
0 votes

(3)
The matrix 

Find image.

The first matrix is image and second matrix is image, So its multipication possible.

image

image

answered Dec 7, 2016 by Anney Mentor
0 votes

(4)

The equation is image

Identify the conic section equation.

image

The conic section equation is image

answered Dec 7, 2016 by Anney Mentor
0 votes

(5)

Step 1:

The infinite sequence of recursion formula is

image

Find the first four terms.

Substitute image in the recursion formula.

image

Substitute image in the recursion formula.

image

Substitute image in the recursion formula.

image

Substitute image in the recursion formula.

image

Find eight term.

Substitute image in the recursion formula.

image

Solution:

The infinite sequences of first four and eighth terms,

image

answered Dec 7, 2016 by Anney Mentor

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