Reference no: EM13751

Problem 1.  Use Matlab to answer the following system of linear equations:

2x + y + 3z = 1
2x + 6y + 8z = 3
6x + 8y + 18z = 5

Problem 2. Create a vector representing x coordinates of a measurement with 20 points between 0 and 10. Create another vector y representing fake measurements which are related to the above x values as y = 2.3 x - 1.2. Next add random (normal, Gaussian) noise to the vector y. Plot on the same graph both versions of vector y in different colors. Next use attached linregr.m function to find a least square fit (linear regression) for your fake experimental data.

Problem 3. Create a three dimensional diagram of function z = (x-2)² + (y-3)³.