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

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02 - Vector Variables 1
Make the following variable: <<http://samle.dk/STTBDP/Assignment1_2a.png>>

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Square a Number
Given an input x, return y, which is equal to the square of x.

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Combined Ages 4 - Non-symmetric with multiples, n ≥ 3
This problem is slightly more difficult than <http://www.mathworks.com/matlabcentral/cody/problems/42383-combined-ages-3-non-sym...

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Combined Ages 3 - Non-symmetric, n ≥ 3
Pursuant to the previous two problems ( <http://www.mathworks.com/matlabcentral/cody/problems/42382-combined-ages-1-symmetric-n-...

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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...

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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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Outer product of multiple vectors
In tensor algebra, it is often useful to define a tensor as a product of lower order tensors. Similarly, a multidimensional arra...

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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...

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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.

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

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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

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Find Logic 3

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Find Logic 1

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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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What is the distance from point P(x,y) to the line Ax + By + C = 0?
Given a point, P(x,y), find the distance from this point to a linear line. INPUTS: x, y, A, B, C OUTPUTS: d, the distance ...

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Orthogonal lines
Check whether two given lines are orthogonal or not. Two lines are orthogonal if they create a right angle at their intersect...

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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...

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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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Approximate the cosine function
Without using MATLAB trigonometric functions, calculate the cosine of an argument |x| to a precision of |0.0001| *Hint:* You ...

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Make a 1 hot vector
Make a vector of length _N_ that consists of all zeros except at index _k_, where it has the value 1. Example: Input ...

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Wind Chill Computation
On a windy day, a temperature of 15 degrees may feel colder, perhaps 7 degrees. The formula below calculates the "wind chill," i...

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Draw 'H'
Draw a x-by-x matrix 'H' using 1 and 0. (x is odd and bigger than 2) Example: x=5 ans= [1 0 0 0 1 1 0 0 0 1 ...

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Increment a number, given its digits
Take as input an array of digits (e.g. x = [1 2 3]) and output an array of digits that is that number "incremented" properly, (i...

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01 - Scalar variables
Create the following variables: <<http://samle.dk/STTBDP/Assignment1_1.png>>

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Probability of red tulips (at both ends of a row)
I planted tulip bulbs in a row on my flower bed. I thought that I had planted white tulips all. However, later, it turned out t...

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Probability of Choosing a Red Ball
Given two jars of red and blue balls, find the probability of choosing a red ball from Jar 1 after going through the steps. ...

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Probabilities - Balls and urns - 01
The urn contains B blue balls and R red balls. Each trial consists of drawing one random ball from the urn and observing its col...

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Dice roll - opposite faces
For this problem, you will be provided with the values of a dice roll (regular six-sided dice). The number of dice will be at le...

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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)....

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