Solved by verified expert: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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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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