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cofactor matrix
given a matrix, find its cofactor matrix https://en.wikipedia.org/wiki/Minor_(linear_algebra)#Inverse_of_a_matrix

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Project Euler: Problem 4, Palindromic numbers
A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 ...

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Project Euler: Problem 3, Largest prime factor
The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number being input, input might be ui...

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Remove duplicated triangles
Input T is a triangulation (triplet list of indices -positive integers-, each index refering to a vertex number in a correspondi...

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Bell Triangle
Form the bell triangle upto nth bell number posotion; if n=5, then y= [1 0 0 0 0; 1 2 0 0 ...

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How to find the position of an element in a vector without using the find function
Write a function posX=findPosition(x,y) where x is a vector and y is the number that you are searching for.

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find nth even fibonacci number
1st even fibonacci number=2 ; 2nd even fibonacci number=8 ..

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Adjoint matrix
given a matrix a, find the adjoint matrix of a.

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generate the matrix
given a value n (say 4) - generate the matrix like below; y= [0 1 2 3 4; -1 0 1 2 3; ...

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wythoff sequence
find the lower wythoff sequence upto n; https://oeis.org/A000201

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Find triangles from edge
First input is T, a Triplet list of indices -whom each row actually contains the three indices of a triangle vertices-. size(T) ...

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Find edges from a vertex
First input is T, a triplet list of indices. Second input is i, a single index (positive integer). The goal of this function is ...

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Rotate a matrix without using rot90
rotate the input square matrix by certain degrees (e.g. 270 or 450 etc.) without using rot90 or flip function. its an extension...

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Find a common edge
First input is T, a triplet list of indices. Second input is e = [e1 e2], a row vetcor, couple of indices (positive distinct int...

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Find a common vertex
First input is T, a triplet list of indices. Second input is i, a single index (positive integer). The goal of this function is ...

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AES SubBytes() Transformation
Given a 16x2 input character hexadecimal array representing the AES state, execute the AES algorithm SubBytes() transformation a...

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another bullseye
create matrix like below -- for x=2, y=[1 1 1 1 1; 1 2 2 2 1; 1 2 3 2...

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Calculate days until Christmas
Provided with inputs year, month, day e.g. 2019,11,12, calculate the number of days until the next Christmas day, i.e. the next ...

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Gray code
Given a decimal number, convert it to its corresponding Gray code (see https://en.wikipedia.org/wiki/Gray_code). 8 -- 1100...

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Check if a number belongs in the fibonacci squence
Test if integer i is a number in the fibonacci sequence. Return true if it is.

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Elliptic Curve Cryptography (ECC) Point Addition
Given two points (P and Q, they can be the same points on the elliptic curve), compute ECC point addition on a Weierstrass ellip...

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Determine whether a given point is inside or outside a polygon
A closed polygon may be described by an N x 2 array of nodes, where the last node and the first node are the same. Each row of ...

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check whether a number is a pentatope number
https://en.wikipedia.org/wiki/Pentatope_number

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generate nth pentatope number
https://en.wikipedia.org/wiki/Pentatope_number

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Cantor counting
Find the nth cantor's rational number. the sequence is given below in the link. Sequence: 1/1,1/2,2/1,3/1,2/2,1/3,1/4... ... .....

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Fun with permutations
There are factorial(N) permutations of the numbers from 1 to N. For each of these permutations, we can find the set of indexes j...

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Double Factorial
Return double factorial n(n-2)...(5)(3)(1), n>0, odd n!! = n(n-2)...(6)(4)(2), n>0, even 1 ...

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create a matrix y of size (n+1) whose last column's elements are the summation of the elements of all the other columns and last row's elements are the summation of the elements of all the other rows; where 'n' is the size of the input matrix 'x'.
for example x=[1 2 3;4 5 6;7 8 9] then y=[1 2 3 6; 4 5 6 15; 7 8 9 24; 12 15 18 45]

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Takuzu row
Takuzu row is one row in a logic puzzle of a rectangular grid. The rules are as follows: (1) The row is filled with 1s and 0s...

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Repeat elements of a vector
Repeat each elements of a given vector according to their values. say x=[1,2,1,3] y=[1,2,2,1,3,3,3]

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