1. Using the fined point method, find the root of z=1.4 sinz, in the interval 10,2x/3) given Xn+1 =14sin yn 2. Using the Newton's method. find the second positive root of 23-52+3=0, 3. Using the Secent method find the least positive root of 2² -5x+3=0 given the initial points p=0.5, y = 20 4. Use the Bisection method method to find the root of 2³ -5x +3=0 in the interval [-3.-1] 5. Solve the following using Gaussian Elimination Method with back substitution (ie with/without = 3 (G Find all values of o and B for which (c) A is strictly diagonally dominant. Ma (d) A is symmetric positive definite. (b) A is symmetric. 7. Suppose that A and B are strictly diagonally dominant nxn matrices. (d) Is A² strictly diagonally dominant? No/F wela) Is-A strictly diagonally dominant? (b) Is A strictly diagonally dominant? (c) Is A+B strictly diagonally dominant? (e) Is AB strictly diagonally dominant? No/ A-B = Moj False. 8. Solve the following linear system using the decomposition method(s) indicated. fing +4ay +3ay = 20 (8) 4+3₂+2g = 0.5 3+4x2+2x3 = -2.5 Doolittle and Crout's Methods