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- In this activity, you will create cryptograms by encoding two messages using matrix multiplication. You must use a unique matrix to encode each cryptogram. For both messages, use this table of corresponding numbers and letters. _(space) 0 I 9 R 18 A 1 J 10 S 19 B 2 K 11 T 20 C 3 L 12 U 21 D 4 M 13 V 22 E 5 N 14 W 23 F 6 O 15 X 24 G 7 P 16 Y 25 H 8 Q 17 Z 26 Encode the message "go straight" using the matrix: 2 3 1 3We would like to write a script that prints a vector Vi one element per line (i.e. a new line is following every element), with 2 digits following the decimal point, and 8 digits in all. Every number is followed by a comma (,) except the last. In other words every number printed (other than the last) will be followed by a comma and then a new line. Which of the below codes can do that? a.l = length(Vi); fprintf('%.82f,\n',Vi(1:l-1)); fprintf('%6.2f\n',Vi(l)); b.l = length(Vi); fprintf('%8f,\n',Vi(1:l-1)); fprintf('%.2f\n',Vi(l)); c.l = length(Vi); fprintf('%8.2f,\n',Vi(1:l)); d.l = length(Vi); fprintf('%8.2f,\n',Vi(1:l-1)); fprintf('%8.2f\n',Vi(l));Given a input.txt: 42 4 0 02 0 0 00 0 0 00 0 8 0 where 4 is the size of the matrix that has the same row and column. 1 is up, 2 is right, 3 is down and 4 is left. For example, if the command is 1, all the elements besides zero in the matrix will move up to the top. also, when moving numbers to one side, two identical numbers can be merged to the double value of the numbers. so from: 2 4 0 02 0 0 00 0 0 00 0 8 0 now will be 4 4 8 00 0 0 00 0 0 00 0 0 0 and now if the matrix move to the right, it will be from: 4 4 8 00 0 0 00 0 0 00 0 0 0 to 0 0 8 80 0 0 00 0 0 00 0 0 0. Please help using C++, stack and linked list so that every time when I do up, down, left, right it will output the same as above. Please write explanation for every line. Thank you so much!!!
- Create a 3-by-3 matrix: A = [1 2 3;4 5 6;7 8 10] (a)Extract a submatrix B consisting of rows 1 and 3 and columns 1 and 2 of the matrix A (b)Interchange rows 1 and 3 of A and put it in a variable C. Hint: use the vector of row indices together with the colon operator (c)Create a vector version of the original matrix A. (d)Delete the 2nd column of the original matrix A and put it in a variable called A. (e)Insert a 2nd column to the new matrix A to restore it back to its original form A. (f) Extract those entries of the original matrix A that are greater than 5In elementwise multiplication A.*B each value in one matrix is paired up with a buddy value in the other and they are multiplied together.In matrix multiplication A*B each row in matrix A is dot-producted with each column in matrix B.The value in the upper left corner of the matrix C is the same as which of the following?C = A*B; options: A(1,1) * B(1,1) dot(A(1,:),B(:,1)) A = [3 1; 5 2];B = [1 -1; 4 0];C = A*Bthe value in the upper left corner of the matrix C is which of the following? % Starting with this code:a = [1 2 3]b = [-1 0 1]% All of the following are identical, except which one? Question 4 options: dot(a,b) a*transpose(b) b*transpose(a) sum(a.*b) They are all identical Fill in the blank to calculate the dot product of amounts and costs.amounts = [2 1 2 5 1]costs = [3.5 1.25 4.25 1.55 3.15]____________ Question 5 options:…28) Give an example to illustrate the difference between the linspace function and the colon operator.29) A = [2; 7; 4] write this Matlab command in a different way.30) Create a 4 by 3 matrix W and fill it with thefollowing values M =12 71 44 1 5 65 6 5 4 2 5 6231) Create a 4 by 3 matrix R and fill it with thefollowing values M =3 2 43 11 4 65 21 65 7 21 23 9
- Assuming that you have a non-empty SQUARE matrix B of size n (assume n >= 2; assume n is a variable present in Workspace) available in your Workspace, which Matlab command will create a vector comprised of all element values present on matrix B diagonal? For example, if: B = 1 0 0 0 0 2 0 0 0 0 3 0 0 0 0 4 The result should be: 1 2 3 4 B(1:(n+1):end) B(1:n:end) B(1:(n-1):end) B(1:-n:end)using matlab If the digits of π were random, then we would expect each of the integers to occur with approximately equal frequency in the decimal representation of π. In this problem we are going to see if the digits of π do indeed appear to be random. The first line of your script stores the first 100 digits of π in the vector pi_digits. Create a vector f50 such that f50(i) is equal to the frequency with which the integer i-1 appears among the first 50 digits of π. Execute the command bar(f50) to visualize the distribution of integers over the first 50 digits. Does the bar chart appear to suggest randomness? Create a vector f100 such that f100(i) is equal to the frequency with which the integer i-1 appears among the first 100 digits of π. Execute the command bar(f100) to visualize the distribution over the first 100 digits. Note that Matlab Grader will only display one plot at a time, so your earlier plot will be overwritten here. Does this bar chart appear to suggest…A university uses student numbers consisting of 6 digits plus a check digit in the 7th position. The check digit is found by taking the number formed by the first 6 digits modulo 7. A transposition in this setup is a switch of two adjacent digits - check digit excluded. Which transpositions of a student number (a6,a5,a4,a3,a2,a1,a0) (here written as a vector, with check digit a0) will not be detected by the check digit? Explain your answer in full and show any calculations you do. Hint: Note that the value of any ai in the number is ai×10i and consider the difference between the values of the correct and incorrect numbers modulo 7.
- Write a program that fills a 5 x 5 matrix with the following data:i. Upper left triangle with -1ii. Lower right triangle with 1iii. Right to left diagonal with 0Display the matrix on the screen.The file week12.py contains a matrix-valued function, f. More specifically, given any float x, the value f(x) returned by this function is a square Numpy array. There exists exactly one value x in the interval (-10,10) for which the matrix f(x) is singular. Print this value correct to exactly 10 decimal places.Given x = [3 15 9 12 -1 0 -12 9 6 1], provide the command(s) that will a. Set the values of x that are positive to zero b. Set values that are multiples of 3 to 3 (rem will help here) c. Multiply the values of x that are even by 5 d. Extract the values of x that are greater than 10 into a vector called y e. Set the values in x that are less than the mean to zero f. Set the values in x that are above the mean to their difference from the mean