Show that if A is an n x n nonsingular matrix with singular values si, ... , s, then the I2 condition number of A is /^(A) = (si/s,,)2 .

Chapter 7.1 – 1: 2 Find the area between the graph of the two functions, y 1 xx 6 and the x- axis. Solution: Graph the function first. y 8 6 4 2 x 1 - 1 2 3 4 5 6 7 8 9 -2 -4 -6 -8 The height of a representative rectangle is 0 6 2 xand the area of a 2 representative rectangle is 6xdx , where dx represents the infinitely small width of the rectangle. The area of the region is