Question: WTITE A MATLAB SCRIPT FOR THE FOLLOWING: Write a script to solve each of the following parts. In each part, use the command rand(N,M) to

WTITE A MATLAB SCRIPT FOR THE FOLLOWING:

Write a script to solve each of the following parts. In each part, use the command rand(N,M) to create a random matrix with N rows and M columns. Also, use the command disp to print matrices.

(a) Produce a random33matrixAthat is invertible (Hint: use a while-loop until you get one with non-zero determinant). Then create a random31vectorband solve the equation Ax =b for x. Then check your answer by computing Axb and confirming that it is the zero-vector(or close).

(b) Have MATLAB construct a pair of 21vectors of random integers (dont forget to make the numbers integers!) between 1 and 10 until you find a pair that are linearly dependent. Hint: Two vectors are dependent if, after forming a matrix with those vectors as columns, the matrix formed has zero determinant. Once you do, display the pair and how many tries it took to find them.

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