Question

a) Considering the relationship of vectors a = [4 4 4 4 4 4] and b = [-1 3 7 11 15 19], write a piece of code that uses a matrix A = magic(6) and generates the following matrix B from Hint: Look for manipulations done on elements (columns) of vector a to get vector b. Then, apply those on matrix A and try to get B. B= 30 -3 | 13 99 90 L139 -2 26 3 25 -17 59 13 51 5 67 16 1 94 97 82 79 83 63 43 47 110 130 45 65 85 145 115 85 91 61) b) Write a program that extracts all the even numbers in matrix B and store them in a vector.

Use MATLAB.

Answer 1

Here given vector a = [4,4,4,4,4,4] and b = [-1, 3, 7, 15, 19]
to get vector b from a we have to add the vector [-5, -1, 3, 7, 11, 15]
as for now we have to add this vector for each row in the magic matrix A for that we will create a 6X6 matrix with same row 6 times
so by adding this two matrices we can get matrix B
%creating magic matrix A
A = magic(6)
%creating a temporary matrix to perform operations
temp = [-5, -1, 3, 7, 11, 15;-5, -1, 3, 7, 11, 15;-5, -1, 3, 7, 11, 15;-5, -1, 3, 7, 11, 15;-5, -1, 3, 7, 11, 15;-5, -1, 3, 7, 11, 15]
%adding A and temporary matix to store the result in B
B = A + temp
%calculating the even number in the B and storing them in vector v
v = []
for row = 1:size(B, 1)
for col = 1:size(B, 2)
if(mod(B(row, col), 2) == 0)
v = [v, B(row, col)]
end
end
end

Activities Mon 22:43 9 Google Chrome computer Science questi x matlab online compiler- X I compile octave online X Add SINGLE element to ar X + E → C r extester.com//octave_online_compiler Rull coue Coue wall Users VIISU TeeuwaCK AUDUL LUGH Theme rivacy compile octave online 9 Language: Octave Layout: Vertical U U EE00vu+WN 1 STo view plots after plot' (and other plot-producing commands) this command must follow: print - dpng some unique plot name.png 2 It exports current plot to png image which then is sent to your browser 3 GNU Octave 4.0.0 A = magic(6) temp = (-5, -1, 3, 7, 11, 15;-5, -1, 3, 7, 11, 15; -5, -1, 3, 7, 11, 15;-5, -1, 3, 7, 11, 15; -5, -1, 3, 7, 11, 15; -5, -1, 3, 7, 11 B = A + temp V = [] for row = 1:size(B, 1) for col = 1:size(B, 2) if(mod(B(row, col), 2) == 0) v = [v, B(row, col)] end end end Run it (F8) Save it [ + ] Show input Live cooperation Put on a wall F ? Absolute running time: 0.5 sec, cpu time: 0.87 sec, memory peak: 25 Mb, absolute service time: 0,51 sec A = 35 1 6 26 19 24

Activities Mon 22:43 9 Google Chrome C Computer Science questic x G matlab online compiler - X I compile octave online x Add SINGLE element to a x + ☆ + → C r extester.com//octave_online_compiler Absolute running time: 0.5 sec, cpu time: 0.87 sec, memory peak: 25 Mb, absolute service time: 0,51 sec A = 35 1 6 7 2 33 34 29 26 21 22 17 12 13 23 27 10 14 18 5 36 temp = 3 3 3 3 3 3 7 7 7 7 7 7 11 11 11 11 11 11 15 15 15 15 15 15 ; G G G G ;__88 ܚ $ ܝܕ 0 39 40 8 27 4 5 36 37 28 34 2938 24 21 35 w v = [](Oxo) V = 30 V = 30 0 300 30

Mon 22:43 Activities 9 Google Chrome C Computer Science questic X G matlab online compiler- X I compile octave online X Add SINGLE element to a x + E → C r extester.com//octave_online_compiler ☆ 300 30 -2 10 28 34 40 26 8 38 36 300 30 -2 10 28 34 40 26 8 38 36 24 300 30 -2 10 28 34 40 26 8 38 36 24 30 30 30 -2 10 28 34 40 268 38 36 24 304 300 30 -2 10 28 34 40 26 8 38 36 24 30 4 32 V = Columns 1 through 16: 300 30 -2 Column 17: 10 28 34 40 26 8 38 36 24 30 4 32 20 V = 10 28 34 40 26 8 38 36 24 30 4 32 Columns 1 through 16: 30 0 30 -2 Columns 17 and 18: 20 26

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