For this week's laboratory, you will write four linear algebra functions using for-loops or while-loops. The four linear algebra functions you will write are 1) calculating the magnitude of a vector, 2) a vector dot product, 3) matrix- vector multiply (Ax-bi, and 4) matrix-matrix multiply (AB=C). You will write your programs in Jupyter Notebook. You will define the input vectors and matrices in the main, pass into your functions, and pass out the results (i.e. magnitude of a vector, the result from the dot product, the result from the matrix-vector multiply, which is the vector b, and the result from the matrix-matrix multiply, which is the matrix C). You cannot use any built-in mathematical functions; you must write these on your own. Below are the vectors and the matrix you will use 8 1 -4 15 2 7 5 17 6 3 2 30 1 8 21 12 20 9 27 1 x1= and x2= A= and B= 10 11 10 6 11 14 11 2 23 24 17 6 17 9 4 23 8 24 2 27

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