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Back to basics 21 - Matrix replicating
Covering some basic topics I haven't seen elsewhere on Cody. Given an input matrix, generate an output matrix that consists o...

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Find the index of n in magic(n)
If input n=5, then magic(n) is 17 24 1 8 15 23 5 7 14 16 4 6 13 20 22...

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How long do each of the stages of the rocket take to burn?
A space rocket has 3 stages: - stage 1, s1; - stage 2, s2; - stage 3, s3. If s1 burns 3 x as long as s2 which burns ...

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SatCom #5: Determine Elliptical Orbit Parameters
*Satellite and Space Engineering - Problem #5* _This is part of a series of problems looking at topics in satellite and space...

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Electrical Diode Current Calculation
In engineering, there is not always a single equation that describes a phenomenon accurately enough to be applied in all instanc...

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Distance of the centroids of the balls
Given *n* balls of radius *r* and the vector *p (nx3)* with all position *(x,y,z)* of the balls, return the symmetric matrix *A ...

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Generate a vector like 1,2,2,3,3,3,4,4,4,4
Generate a vector like 1,2,2,3,3,3,4,4,4,4 So if n = 3, then return [1 2 2 3 3 3] And if n = 5, then return [1 2 2...

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Create an n-by-n null matrix and fill with ones certain positions
The positions will be indicated by a z-by-2 matrix. Each row in this z-by-2 matrix will have the row and column in which a 1 has...

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Penny flipping - calculate winning probability (easy)
Two players are playing a fair penny flipping game. For each flip, the winner adds one penny from the loser's collection to his/...

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Unique dice configurations
Given a number of dice N and the number of sides on each die S, write a MATLAB function that will output how many unique permuta...

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Project Euler: Problem 2, Sum of even Fibonacci
Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 te...

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Calculate the probability that at least two people in a group share the same birthday.
Calculate the probability that at least two people in a group share the same birthday. Given an integer input n, return to 0.015...

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The Birthday Phenomenon
First off, leap years are not being considered for this. In fact the year that people are born shouldn't be taken into considera...

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Calculate the sum of two polynomials
Calculate the sum of two polynomials if they are written in notation with their coefficients. example: a=[3 4 5]; b=[...

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Negative without '-'
Simple: return a negative number without using the '-' sign. Thanks to Problem <https://www.mathworks.com/matlabcentral/cody/...

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Calculate the hypotenuse of a right triangle without using ^ and sqrt ()
Find out the hypotenuse of right triangle. Say a = 4, b = 3 then c = 5 Please don't use ^ and sqrt() function.

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Given a matrix, swap the 2nd & 3rd columns
If a = [1 2 3 4; 1 2 3 4; 1 2 3 4; 1 2 3 4]; then the result is ans = 1 3 2 4 1 3 2...

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Diagonal Pattern
For a positive integer |n|, return an |nXn| matrix |mat| such that the value of each element in row |i| and column |j| is given ...

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Make a rainbow matrix (follow-up to checkerboard matrix)
Given an integer n, make an n-by-n matrix as shown below. The a(1,1) should be 0. As we move away from the top-left, the number ...

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Union Jack Matrix
Create a matrix of odd dimensions that has ones on both diagonals and dividing the matrix into 4 quadrants, resembling a square ...

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Vandermonde Matrix
Create the Vandermonde Matrix of the given vector. The matrix consists of columns as powers of the vector, so the first column i...

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Tent matrix
Create an n x n matrix that resembles one kind of tent. The variable n is provided to the function and will be an odd number. As...

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Create a square matrix with given conditions
Create a square matrix, M, which should be populated as follows: M = [ n^2 n * (n-1) n * (n-2) ... n * 2 n * ...

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create a square matrix
create a [n*n] matrix. example: mat(4)= [ 1 4 9 16 4 4 9 16 9 9 ...

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Form a square matrix from four square sub-matrices
Create a square matrix, y, from 4 square sub-matrices that will be constructed (x1, x2, x3, x4): y = [x1 x2; x3 x4]; ...

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Toeplitz Matrix
For a given square matrix of order n-by-n check whether this is a Toeplitz matrix or not. Return true if it is.

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Generate this matrix
For a given odd integer n, generate a matrix as follows: Input: n = 5; Output: [ 2 1 0 0 0 1 ...

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Flip the main diagonal of a matrix
Given a n x n matrix, M, flip its main diagonal. Example: >> M=magic(5); >> flipDiagonal(M) 9 24 1 ...

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Make an awesome ramp for a tiny motorcycle stuntman
Okay, given a vector, say v=[1 3 6 9 11], turn it into a matrix 'ramp' like so: m=[1 3 6 9 11; 3 6 9 11 0; 6 9 ...

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Differential equations I
Given a function handle |f| an initial condition |y0| and a final time |tf|, solve numerically the differential equation dy...

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