The gradebook of a Linear Algebra teacher is as follows He wants to write a Matl

Question

The gradebook of a Linear Algebra teacher is as follows He wants to write a Matlab program to analyze this data. You are asked to assist him with the following tasks: a) Write the matrix A that stores the grade data, where the rows correspond to the students and the columns correspond to the assignment types. b) The final grade is calculated by the formula 0.2 * (Homework) + 0.2 * (Test 1) + 0.2 * (Test 2) + 0.4 * (Final exam) Express the calculation of the final grades for all students as a single matrix-vector multiplication. c) Define the vector upsilon = [1/3 1/3 1/3] What is the meaning of the product upsilon^T A?

Explanation / Answer

A = [100,100,100,100; 50,20,20,50;100,80,90,90] %% grade data as described
b = [0.2;0.2;0.2;0.4] %% this is a column vector
final = A*b %%we get the final score here
v = [1/3;1/3;1/3];
v'*A %% this operation calculates the average grade for each assignment

vTA calculates the average grade for each assignment

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