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Similar Triangles - find the height of the tree
Given the height, h1, of a power pole, shorter than a tree, a given distance, x2 away, please find h2, height of the tree. Pleas...

2 years ago

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Determine when snow started
R.P. Agnew posed the following problem: It starts snowing in the morning and continues steadily throughout the day. A snowplow t...

2 years ago

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Air Mass to Star for an Observer at Mean Sea Level
Air mass is a measure of how much atmosphere light from a source above the atmosphere (eg sun, planet, star) has to travel throu...

2 years ago

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Calculate Wind Chill Factor
The NWS Wind Chill Temperature (WCT) index formula for calculating the dangers from winter winds and freezing temperatures: Cal...

2 years ago

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The twelve days of Christmas
Traditionally there are twelve days of Christmas to celebrate ("Twelvetide"), typically starting with Christmas Day (25 December...

2 years ago

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Find the jerk
No, it's not the author of this problem... Jerk is the rate of change in acceleration over time of an object. So, if given t...

2 years ago

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How Far Can You Throw Something?
As you probably learned in your high school physics class, throwing an object at a 45 degree angle will give you the maximum ran...

2 years ago

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Calculate the height of an object dropped from the sky
Assume that an object is dropped from 1000 meters above the surface of the earth at time t=0. The object is dropped such that t...

2 years ago

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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 ...

2 years ago

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center of mass
R is a given matrix with size [n,2]. R(i,:) is interpreted as the 2D-position of a mass point with mass i. Calculate the center ...

2 years ago

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Bernoulli's Equation
Bernoulli's equation states that for an incompressible fluid the following summation is constant across the flow: v^2/2 + g*z + ...

2 years ago

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Kepler's Equation
Solve <http://en.wikipedia.org/wiki/Kepler's_equation Kepler's Equation>. Note that the solution is rounded down to 5 decima...

2 years ago

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Projector Matrix
Write a function to determine whether or not the matrix is a projector. Projector matrices are defined as P^2 = P.

2 years ago

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Nilpotent matrix
Check if matrix A is <http://mathworks.com/ nilpotent>.

2 years ago

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Orthonormal matrix
You decide whether any given matrix is an orthonormal matrix or not. If each column in a matrix is perpendicular to the other...

2 years ago

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Is this matrix orthogonal?
Given a square matrix, a, determine whether it is orthogonal. INPUT: a, a n x n matrix OUTPUT: true or false

2 years ago

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Determine if input is a valid AHP evaluation matrix
Input is a matrix. Output is a true or false statement (1 or 0). Return true if input is a valid Analytic Hierarchy Process eval...

2 years ago

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Combined Ages 2 - Symmetric, n ≥ 3
Following on <http://www.mathworks.com/matlabcentral/cody/problems/42382-combined-ages-1-symmetric-n-3 Combined Ages 2>, you wil...

2 years ago

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Combined Ages 1 - Symmetric, n = 3
You have probably seen the common riddle wherein combined ages are provided and you must determine the individual ages. For exam...

2 years ago

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Solve the set of simultaneous linear equations
Given this pair of simultaneous linear equations: 2x + 3y = 23 3x + 4y = 32 Find the solution set (x,y)

2 years ago

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Linear system of equations
Solve the system of equations in three variables.

2 years ago

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System of equations
Find a solution to a system of equations represented by a |n| by |n+1| matrix. For instance, [ 2 0 4; => 2*x = 4 ...

2 years ago

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Column norms of a matrix
Given a matrix M, return a vector y such that for each k y(k)=norm(M(:,k)) (y(k) is the Euclidean norm of the k-th col...

2 years ago

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Words Count: A Cell Array Approach
Given an input character vector consisting of words, punctuation marks, white spaces, and possibly newline characters (\n), arra...

2 years ago

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String Array Basics, Part 3: Convert Cell Array with Missing Values to String Array
<http://www.mathworks.com/help/matlab/characters-and-strings.html String array> and cell array are two types of containers for s...

2 years ago

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Words Count: A String Array Approach
Given an input character vector consisting of words, punctuation marks, white spaces, and possibly newline characters (\n), arra...

2 years ago

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Use a timetable to analyze a train timetable (Part 4)
You are analyzing a train timetable (you have some time to kill since you just missed your train!) What is the average daily tri...

2 years ago

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Use a timetable to analyze a train timetable (Part 5)
You are analyzing a train timetable (you have some time to kill since you just missed your train!) How many trains depart each d...

2 years ago

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Use a timetable to analyze a train timetable (Part 3)
Oh no, you missed your train to Boston (again?)! How many times can you miss that train today? (In other words, how many Boston ...

2 years ago

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Combine the first and last names
MATLAB R2016 provides a rich set of functions to work with string arrays. In this problem, you will be given two string arrays o...

2 years ago