This problem concerns the equation Ax = b, where A = −1 1 0 α and α > 0. (a) For what values of α is this matrix ill-conditioned? Make sure to identify what norm you are using. (b) Suppose the residual r is small (but nonzero). For what values of α, if any, will the error e = x − xc be large? Note x is the exact solution and xc is the computed solution. (c) Suppose the error e is small (but nonzero). For what values of α, if any, will the residual be large?

Complete the standard form of the equation that represents the quadratic relationship displayed above, where a, b, and c are rational numbers.

Thee blue triangle has rotated from quadrant i to quadrant iii about the origin. describe the effects of the rotation on the coordinates of the blue triangle.

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.