7. Manipulate a matrix: Do the following operations on matrix G created above in Problem 6. (a) Extract the 3 x 3 submatrix of G consisting of columns 1 through 3 and rows 1 through 3 and store it in the matrix H, that is, create a matrix Ti 0-31 H= 0 1 1 1-5 -3 1 by extracting the appropriate rows and columns from the matrix G. (b) Create the matrix e obtained from H by replacing H21 = 0 by 5. Do not enter E explicitly. Hint: enter first E=H; to create a copy of the matrix H and then manipulate the matrix E. The resulting matrix should be Ti 0-3 ] E= 5 1 1 1-5 -3 1] (c) Create the matrix F obtained by deleting the third column of the matrix H. Do not enter F explicitly. (d) What happens if you type G(:,:) and hit return? Do not include the output in your lab report, but include a statement describing the output in words. What happens if you type G(:) and hit return? Do not include the output in your lab report, but include a statement describing the output in words. (e) What happens if you type G(5,6) and hit return? Explain. (f) What happens if you type max(G)? Explain. What happens if you type sum(G)? Explain. (g) What happens if you type G(G>3) and hit return? Can you explain how MATLAB got that answer? What happens if you type G(G>3) = 500 and hit return? Can you explain how MATLAB got that