IN PYTHON (without using numpy and use of comments to describe the purpose of your lines of code)

def main(): # define the variables needed to test the required functions myvals = [-1, 6, 2, -3, 5, 5, 3, -5, 2, 5, 3, 3, 10, 5] mymatrix1 = [[50, 3.7, -7, 4], [-8, 9, 310, -1.8], [-120, 7.9, 3.2, 13]

] mymatrix2 = [[19, 3.7, -7], [-8, 9, -1.8], [7.9, 3.2, -11], [4.3, -0.32, 4] ] p1 = [3, 1, -2, -8] p2 = [2, 1.4, 1, -1, 2] x1 = 2.9 x2 = -3.4

# for part c) poly = polyval(x1, p1) print('part c) Polynomial value for (x1= {:.2f}) = {:.1f}'.format(x1, poly)) poly = polyval(x2, p2) print('part c) Polynomial value for (x2= {:.2f}) = {:.1f}'.format(x2, poly)) print() # print a blank line # for part d) row, col = location_of_largest(mymatrix1) val = mymatrix1[row][col] print('part d) ', val, row, col) row, col = location_of_largest(mymatrix2) val = mymatrix2[row][col] print('part d) ', val, row, col) main()

ANSWERS:

part c) Polynomial value for (x1= 2.90) = -206.0 part c) Polynomial value for (x2= -3.40) = 315.4 part d) 310 1 2 part d) 19 0 0

c) Write a function defined as: def polyval(x, coeffs): x : a float coeffs: an array containing the coefficients of a polynomial, in order from the coefficient of the lowest power to the coefficient of the highest power. return value: the value of the polynomial for the given value of x P(x)=a0+a1x+a2x2+a3x3+a4x4 Note: Use Google to learn how to raise a number to a Power in Python. d) Write a function defined as: def location_of_largest (amatrix): amatrix: a full matrix of floats and integers return value: the location (row and column numbers) of the largest magnitude value (largest absolute value) in amatrix Note: Use Google to learn how to determine the absolute value