SOLVE them with a separate PDF & WORD documents with their codes written in the documentFor every problem, provide? The MATLAB script files/Command window screenshots that solve the problems.? Final answers. Run the prepared script file in the MATLAB command window in order to obtain the answers.for this time>>Please note that all problems in this HW must be solve by hand, without MATLAB!, so attached ur answer via a picture into the PDF & WORD documentsplz finish it ASAP

homework_05..docx

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MATLAB easy 5 questions

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For every problem, perform all calculations by hand. Provide all details of calculations in

the report.

Problem 1: Find matrix product AB for

1 ?4 2

a) A = [

],

2 ?1 7

2

B = [?1

b) A = [?2 ?3 1/2],

2

?1

0

?2] .

4

?2

2 ?1 ?3

B= [ 2

0

4 ].

?2 ?5 3

?2

?3

c) A = [ 2

0

4 ] , B = [?31 ]

?2 ?5 3

2

2

?24

?3

1 0 0

d) A = [0 1 0] , B = [ 7

0

8 ].

0 0 1

?2 ?15 3

Problem 2: Find the transpose of the following matrices

2

a) A = [ 2

?2

2

b) B = [?1

4

?1 ?3

0

4]

?5 3

0

?2]

?2

Problem 3: Consider a system of linear equations

x3 2×2 = 5

2×2 2×3 ? x1 = 0

2×2 5×1 = 2

1. Find the matrix of coefficients A of this system and vector of right hand sides B and

write this system in the matrix form.

2. Find solution of this system using the Gauss elimination.

Problem 4: Find the solution of the system of linear equations AX = B by the Gauss

elimination:

1. Find the matrix of coefficients and vector of left hand sides after the forward sweep.

2. Find the solution of the system.

1 ?1 2 4

0 ?1],

A=[ 1 3

?2 0 ?1 5

0 ?4 0 2

?2

B = [ 1 ].

1

0

Problem 5: Consider the matrices

1 1

1

A = [1 ?3 0 ],

2 2 ?2

1.

2.

3.

4.

5.

1 3

B = [0 2 ],

2 ?1

0

C = [2].

1

Calculate AB.

Calculate BT.

Calculate AC.

Calculate BTA.

Solve the SLE AX = C by hand using Gauss elimination technique.

…

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