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please, show the steps! 1. [30*] fvaluate the following calculations in MAfLAB for the ghen matrin MI=221304115M2=532 (a) M1FM (b) M1M27,(A+is transposed matris of A)
please, show the steps!
1. [30*] fvaluate the following calculations in MAfLAB for the ghen matrin MI=221304115M2=532 (a) M1FM (b) M1M27,(A+is transposed matris of A) (c) MIMIIT (d) M1.7ML " (e) 3*MI (f) 3.MI () Determinant of M1 (h) MI1,(A2 is inversed matrix of A) (i) Find matrix M3 so that M1*M3 in 10 is identity matrix) 2. [20xy the divance between two points {xd,y1,z1} and (x2,y2,+2} in a three-dimensional Cartesian coordinate system is cliven by the equation d=(x2x1)x+(y2y1)2+(x2x1)2 Write a verigt file to calculate the dintance between amy given two points (xi, y1, z1) and (x2, y2, 12). Use the program to calculate the diotance between the points (3,2,5] and [3,6,5). 3. [30\%] A unit vector is a vector whose magnitude is 1 . Unit vectors are used in many areas of engineering and physics. A unit vector can be calculated from any vector by dividing the vector by the magsilude of the vector. A three-dimensional unit vector in the direction of vector y in xi+4 yjj^+zk^ can be calculased as u=x2+y2+x2xi^+yj^+xk Write a scrigt file that actepts a three-dimensional vector in rectahgular coocdinates and calculates the unit vector. 4. [203] the author of this book now lves in Australia. In 2009, individual citisens and residents of Australia paid the following income taxes. In addition, a flat 1.5 percent Medicare lery is charged on all income. Write a program to calculate how much income tax a persen will owe based on this inlormation. The program should ackept a total income figure from the user and calculate the intome tax, Medicare levy, and total tax payable by the individual Step by Step Solution
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