## Lab Assignment-09 Note: Create and save m-files for each problem individually. Copy all the m-files into a ‘single’ folder and upload the folder to D2L. Read chapters 2 and chapter 3.1-3.3 of the textbook (Introduction to MATLAB 7 for Engineers), solve the following problems in MATLAB. Given A= [■(3&-2&1@6&8&-5@7&9&10)] ; B= [■(6&9&-4@7&5&3@-8&2&1)] ; C= [■(-7&-5&2@10&6&1@3&-9&8)] ; Find the following A+B+C Verify the associative law (A+B)+C=A+ (B+C) D=Transpose(AB) E=A4 + B2 – C3 Find F, given that F = E-1 * D-1 – (AT) -1 Use MATLAB to solve the following set of equations 5x+7y + 9z = 12 7x- 4y + 8z = 86 15x- 9y – 6z = -57 Write a function that accepts temperature in degrees F and computes the corresponding value in degree C. The relation between the two is Aluminum alloys are made by adding other elements to aluminum to improve its properties, such as hardness or tensile strength. The following table shows the composition of five commonly used alloys, which are known by their alloy numbers ( 2024, 6061, and so on) [Kutz, 1999]. Obtain a matrix algorithm to compute the amounts of raw materials needed to produce a given amount of each alloy. Use MATLAB to determine how much raw material each type is needed to produce 1000tons of each alloy. Composition of aluminum alloys Alloy % Cu % Mg % Mn % Si % Zn 2024 4.4 1.5 0.6 0 0 6061 0 1 0 0.6 0 7005 0 1.4 0 0 4.5 7075 1.6 2.5 0 0 5.6 356.0 0 0.3 0 7 0

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