Solve the system of equations (Use matrices.):

shadsiei
2021-02-02
Answered

Solve the system of equations (Use matrices.):

You can still ask an expert for help

wheezym

Answered 2021-02-03
Author has **103** answers

Step 1

Given,

Step 2

Consider the Augmented matrix is of the form

Here,

Use Gauss Elimination method,

Consider,

Step 3

The above matrix is in the row echelon form

By back substitution we get,

Substitute the value of z in (ii) we get,

Substitute the value of y and z in (iii) we get,

Therefore the solution set is

Jeffrey Jordon

Answered 2022-01-29
Author has **2313** answers

Answer is given below (on video)

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Let B be a 4x4 matrix to which we apply the following operations:

1. double column 1,

2. halve row 3,

3. add row 3 to row 1,

4. interchange columns 1 and 4,

5. subtract row 2 from each of the other rows,

6. replace column 4 by column 3,

7. delete column 1 (column dimension is reduced by 1).

(a) Write the result as a product of eight matrices.

(b) Write it again as a product of ABC (same B) of three matrices.

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2. halve row 3,

3. add row 3 to row 1,

4. interchange columns 1 and 4,

5. subtract row 2 from each of the other rows,

6. replace column 4 by column 3,

7. delete column 1 (column dimension is reduced by 1).

(a) Write the result as a product of eight matrices.

(b) Write it again as a product of ABC (same B) of three matrices.

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