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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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Reverse the vector

Reverse the vector elements. Example: Input x = [1,2,3,4,5,6,7,8,9] Output y = [9,8,7,6,5,4,3,2,1]

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Bottles of beer

Given an input number representing the number of bottles of beer on the wall, output how many are left if you take one down and ...

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Shift elements of vector left

Shift elements of vector to the left. For ex. : Input_vec = [1 2 3 4 5] Output_vec = [2 3 4 5 1]

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Triangle sequence

A sequence of triangles is constructed in the following way: 1) the first triangle is Pythagoras' 3-4-5 triangle 2) the s...

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Find a Pythagorean triple

Given four different positive numbers, a, b, c and d, provided in increasing order: a < b < c < d, find if any three of them com...

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Side of a rhombus

If a rhombus has diagonals of length x and x+1, then what is the length of its side, y? <<http://upload.wikimedia.org/wikipe...

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Is this triangle right-angled?

Given any three positive numbers a, b, c, return true if the triangle with sides a, b and c is right-angled. Otherwise, return f...

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Dimensions of a rectangle

The longer side of a rectangle is three times the length of the shorter side. If the length of the diagonal is x, find the width...

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Side of an equilateral triangle

If an equilateral triangle has area A, then what is the length of each of its sides, x? <<http://upload.wikimedia.org/wikipe...

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Area of an Isoceles Triangle

An isosceles triangle has equal sides of length x and a base of length y. Find the area, A, of the triangle. <<http://upload...

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Area of an equilateral triangle

Calculate the area of an equilateral triangle of side x. <<http://upload.wikimedia.org/wikipedia/commons/e/e0/Equilateral-tr...

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Length of a short side

Calculate the length of the short side, a, of a right-angled triangle with hypotenuse of length c, and other short side of lengt...

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Length of the hypotenuse

Given short sides of lengths a and b, calculate the length c of the hypotenuse of the right-angled triangle. <<http://upload....

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Is this triangle right-angled?

Given three positive numbers a, b, c, where c is the largest number, return *true* if the triangle with sides a, b and c is righ...

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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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Matrix to column conversion

Given a matrix of any size, convert it into a column vector. e.g A=[10 20 30; 40 50 60] then, B = [10; 40; ...

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Change matrix to vector

Vector is a matrix whose size is 1 x n or n x 1. Change matrix to vector. x = 4 3 5 1 ...

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Unit Matrix

Given n, you should return an n-by-n unit matrix. Example: If input is n=2 then A = [ 1 0 0 1 ] If input ...

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Back to basics - mean of corner elements of a matrix

Calculate the mean of corner elements of a matrix. e.g. a=[1 2 3; 4 5 6; 7 8 9;] Mean = (1+3+7+9)/4 = 5

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Matrix Construction I

Given n, construct a matrix as shown in the example below. Example For n=8, the output should look like this: 1 2 3 4 ...

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Weighted average

Given two lists of numbers, determine the weighted average. Example [1 2 3] and [10 15 20] should result in 33.333...

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Determine whether a vector is monotonically increasing

Return true if the elements of the input vector increase monotonically (i.e. each element is larger than the previous). Return f...

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Speed of car travelling x meters in y seconds

What is the speed of a car if the car travelled x meters in y seconds? Supply the answer in m/s.

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Make a checkerboard matrix

Given an integer n, make an n-by-n matrix made up of alternating ones and zeros as shown below. The a(1,1) should be 1. Examp...

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Swap the first and last columns

Flip the outermost columns of matrix A, so that the first column becomes the last and the last column becomes the first. All oth...

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multiply by three

Given the variable x as your input, multiply it by 3 and put the result equal to y. Examples: Input x = 2 Output y is ...

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Factorial Numbers

Factorial is multiplication of integers. So factorial of 6 is 720 = 1 * 2 * 3 * 4* 5 *6 Thus 6 factorial = factorial(720)....

5 years ago