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Twists in 2D
So far we have represented the pose of an object in the plane using a homogeneous transformation, a 3x3 matrix belonging to the ...

7 years ago

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Orientation of a 3D coordinate frame
The orientation of a body-fixed frame {B} with respect to the world frame {W} is described by an SO(3) rotation matrix. Compute...

7 years ago

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Invert a 3D rigid-body transformation
Given an SE(3) matrix representing a rigid-body motion, compute its inverse without using |inv()| or |pinv()| .

7 years ago

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Create a 3D rotation matrix from roll-pitch-yaw angles
Consider a robotics application where the world reference coordinate frame {W} and a robot manipulator arm with an attached tool...

7 years ago

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Calculate value of Ra for three runs. Flow rates
Problem 5.31, page 220, from Felder and Rousseau Elementary Principles of Chemical Processes book <https://www.academia.edu/3...

7 years ago

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Anyone for tennis? Your chances of winning a (standard) game
Imagine you are playing tennis, and for _each point_ played your chance of winning is |x| % (input as a |<https://au.mathworks.c...

7 years ago

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Raise Matrix to Power
For a given square matrix x and scalar a, find x^a without using '^' or 'mpower'.

7 years ago

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Lights Out 12 - 5x5, three stages, <7 moves
<https://en.wikipedia.org/wiki/Lights_Out_(game) Lights Out> is a logic game wherein all lights need to be turned off to complet...

7 years ago

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Lights Out 11 - 5x5, with wrapping, x moves
<https://en.wikipedia.org/wiki/Lights_Out_(game) Lights Out> is a logic game wherein all lights need to be turned off to complet...

7 years ago

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Lights Out 9 - 5x5, light-only solution? II
<https://en.wikipedia.org/wiki/Lights_Out_(game) Lights Out> is a logic game wherein all lights need to be turned off to complet...

7 years ago

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Generating random matrix with given probability mass function
Inspired by <http://www.mathworks.com/matlabcentral/cody/problems/2356-simulating-the-selection-of-a-state-with-given-probabilit...

7 years ago

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Guess the number I'm thinking of
In this game you are competing against two other people to guess the number that I'm thinking of. # I randomly choose an *i...

7 years ago

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Lights Out 10 - 5x5, with wrapping, 6 moves
<https://en.wikipedia.org/wiki/Lights_Out_(game) Lights Out> is a logic game wherein all lights need to be turned off to complet...

7 years ago

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Bridge and Torch Problem - Probability
<https://en.wikipedia.org/wiki/Bridge_and_torch_problem Details of the problem ...> There are four people who wants to cross...

7 years ago

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Bridge and Torch Problem - Length of Unique Time List
<https://en.wikipedia.org/wiki/Bridge_and_torch_problem Details of the problem ...> Input is crossing time list. (for exampl...

7 years ago

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Bridge and Torch Problem - Minimum time
<https://en.wikipedia.org/wiki/Bridge_and_torch_problem Details of the problem ...> Input is crossing time list. (for exampl...

7 years ago

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Invert a 3D rotation matrix
Given a 3D rotation matrix, belonging to the matrix group SO(3), compute its inverse without using the functions |inv()| or |pin...

7 years ago

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Determine roll pitch yaw angles from a 3D rotation matrix
Consider an aerospace application where the world reference coordinate frame {W} and a body-fixed coordinate frame {B}. The ori...

7 years ago

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Parsing Expressions - Binary Arithmetic Operators I
Parse and evaluate expressions like these: '1 + 2' '51 - 78' '42 * 9' The only operators are +, -, *. Both argu...

7 years ago

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Create a 3D rotation matrix
Consider an arbitrary coordinate frame {A}. Consider another coordinate frame {B} which has the same origin as {A} but is rotat...

7 years ago

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Given a matrix A return a vector of the product of the elements in each column using a loop without using prod.
--------------------- for m: 3 1 3 3 10 1 9 1 9 4 1 4 5 6 5 ...

7 years ago

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Given a matrix A (size m x n) create a matrix B which consists of matrix A sorted in descending order by columns and then by rows.
--------------- A= [ 2 6 -3 7 12 0 -12 5 1] --------------- B= [12 7 1 6 2 0 5 -3 ...

7 years ago

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Given a matrix A (size m x n) create a matrix B (size m+2 x n+2) which consists of matrix A surrounded by zeros. See Example below:
A = [1 2 3 4 5 6] ----------- B = [0 0 0 0 0 0 1 2 3 0 0 4 5 6 0 0 0 0 0 0]

7 years ago

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Given a Vector v1, create v2 which is the sum of each two adjacent elements in v1. {length(v2)=length(v1)-1}
if v1 is [1 2 3 4 5 6 7 8] then v2 should be [3 5 7 9 11 13 15]. if v1 is [1; 3; 5; 7] the...

7 years ago

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twins or duplicate
You have to find if someone is present in 2 lists even if there's one orthographic fault in his name. Consider that an orthogr...

7 years ago

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Opposite point of the earth, what is the antipodal of a point ?
Given two strings(lat and long) that represent the geographic coordinates of a point in the earth, you have to find out what is ...

7 years ago

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Index of neighbor pixel with steepest gradient
Unlike in various applications, where the gradient of a two dimensional matrix is calculated in x and y direction, the gradient ...

7 years ago

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Path of least resistance - Move all direction
Extension of the wonderful <https://www.mathworks.com/matlabcentral/cody/problems/1049-path-of-least-resistance Problem 1049> (P...

7 years ago

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Two functions (to be sure)
I want to compute the number of odd/even numbers in an array. But I want the results by two different functions. Example: ...

7 years ago

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Cody Computer Part 5 - Guess the Name of Cody Computer
Network computers have generally a nickname to be identified. Can you guess the nickname of the Cody Computer? No inpu...

7 years ago

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