** this problem illustrates how gaussian elimination can be unstable without pivoting. take the following matrix: a = 10−20 1 1 1 (a) compute the condition number of this matrix in matlab using the cond command. (b) compute the lu factorization of this matrix, by hand and without partial pivoting, using exact arithmetic. (c) compute the solution to ax = b with b = [1, 0]t , again with exact arithmetic. (d) now repeat the factorization and solution computation using finite-precision arithmetic. (e) what will the solution be once partial pivoting is enabled using finite-precision arithmetic?

If eh = hg and hg=16, find the diameter of k

Jonathan can throw a baseball 10 1/3 yards. his brother joey can throw a baseball 13 1/2 yards. how much father can joey throw the ball?

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i. e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?