SOLVE them with a separate PDF & WORD documents with their codes written in the document For every problem, provide? All details of calculations on paper for problems 1 and 2.? The MATLAB script/function files that solve the problems.? Final answers. Run the prepared script/function file in the MATLAB command window in order to obtain the numerical values of plots.

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MATLAB easy 7 questions

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For every problem, provide

All details of calculations on paper for problems 1 and 2.?

The MATLAB script/function files that solve the problems.?

Final answers. Run the prepared script/function file in the MATLAB command

window in order to obtain the numerical values of plots.?

Problem 1: Solve problem 24 from page 58 of Gilat?s book.

Problem 2: Solve problem 29 from page 59 of Gilat?s book.

Problem 3:

1. Find the inverse A?1 of the matrix A using Cramer?s rule by hand.

1 2 ?1

A = [0 1 ?1]

1 2 1

2. Find by hand A?1A

3. Find A?1 in MATLAB.

Problem 4: Find the cofactor of element a23 of matrix A by hand.

1 ?1 2 4

0 3

0 ?1

A = [1/2 7

]

?1 5

1/2 2 0 2

Check your calculations with MATLAB using function det.

Problem 5:

1. Write the system of equations in matrix form.

4×4 ? x2 x1 2×3 = ?2

3×2 = ?3

?x3 2×1 5×4 2×2 = 1

32×2 2×4 16×3 = 12

2. Find det A.

3. Use function linsolve in order to solve this linear system in MATLAB.

3. Check that solution is correct, i.e. AX = B.

Problem 6: Solve problem 23 on page 130 of Gilat?s book using linsolve function:

The report should contain the matrix of coefficients and the column vector of RHS.

Problem 7:

1. Formulate a system of linear equations that allows one to find all forces, R1,?, R2

and F1,?, F9 in the statically determined truss given in the figure below.

2. Re-write this SLE in the matrix form AX = b.

3. Solve the SLE with linsolve function in MATLAB.

4. Report should include the original SLE, matrix A, vector b, and values of forces.

5. Other examples of similar problems are given on page 130 in Gilat?s book.

…

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