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Basics: 'Find the eigenvalues of given matrix
Find the eigenvalues y for a given matrix x.

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Create a Multiplication table matrix...
Create a product table in this format: P = [ 1 2 3 4 5; 2 4 6 8 10; 3 6 9 12 15; 4 8 12 1...

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Return the 3n+1 sequence for n
A Collatz sequence is the sequence where, for a given number n, the next number in the sequence is either n/2 if the number is e...

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Find the Nth Root of a Given Number
Find the Nth root of a given number x. Examples x = 4096 n = 4 y = 8 x = 625 n = 5 y = 3.6239

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Factorial

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Calculate inverse matrix in m by n matrix
x=(1:10)' y=roundn(2*x+7*rand(size(x)),-1) a*x=y Estimate a using inverse matrix calculation. This is principle of li...

5 years ago

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Gauss Eliminate 2-by-2 example
Use forward elimination to make the coefficient matrix, A, an upper triangular matrix, and then solve using back substitution, f...

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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...

5 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...

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linear least squares fitting
Inputs: * |f|: cell-array of function handles * |x|: column vector of |x| values * |y|: column vector of |y| values, same l...

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Summing digits
Given n, find the sum of the digits that make up 2^n. Example: Input n = 7 Output b = 11 since 2^7 = 128, and 1 + ...

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Product of elements in row
Product of matrix such that a=[3 3 1] b=9

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Find the product of a Vector
How would you find the product of the vector [1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 5.5 6.0] times 2?; x = [1 : 0.5 : 6]; y ...

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Sum of the Multiplication of Vectors
Given the vectors x and y as input, multiply the vectors and return the summation of its elements. Example: x = [1 2 ...

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Complex number
For complex number c=a+bi, write code that will add a and b together.

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Convert Angstrom to Meters
Write a code that converts the angstrom unit to meters.(A is angstrom and m is meters.)

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Vector Magnitude Calculator
'a' is a vector that starts at the origin and ends at (x, y). Find ||a||. Hint: It is as simple as "ABC".

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Pi Digit Probability
Assume that the next digit of pi constant is determined by the historical digit distribution. What is the probability of next di...

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Returning a "greater than" vector
Given a vector, v, return a new vector , vNew, containing only values > n. For example: v=[1 2 3 4 5 6] n=3 vNew =...

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Right and wrong
Given a vector of lengths [a b c], determines whether a triangle with those sides lengths is a right triangle: <http://en.wikipe...

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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...

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What is Sum Of all elements of Matrix
Given the matrix x, return the sum of all elements of matrix. Example: Input x = [ 1 2 0 0 0 0 6 9 3 3 ] ...

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Check if sorted
Check if sorted. Example: Input x = [1 2 0] Output y is 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. Examples: fin...

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Sort a list of complex numbers based on far they are from the origin.
Given a list of complex numbers z, return a list zSorted such that the numbers that are farthest from the origin (0+0i) appear f...

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Pointwise multiplication of vectors.
Pointwise multiplication of vectors x and y. Example x= [1 3 5 7 9 11 13 15 17 19] y=[ 1 4...

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Solve system of equation!
Given provided system of equation, and find x and y. System of equation can be expressed as each term's coefficient. For exam...

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Determinants
Given a square matrix(A), find the determinant(d). For example: A = [1,3;4,5] d = 1*5-4*3 = -7

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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...

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Calculate distance travelled when given radius and rotations
When given radius of wheel and number of rotations calculate total distance travelled consider pi=3.14

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