2creation of the svd the creation of the svd uses the diagonalization techniques we have learned in class, just not on a. instead the svd relies on the diagonalization of two matrices: at a and aa first prove the following statement 1. given an mxn matrix a, show that at a and aat are both symmetric since both at a and aat are symmetric, we know thatheir eignvalues are real, but also the eigenvalues of at a are the same as the eigenvalues of aat (with maybe some zeros included or removed). in addition, they are all non-negative. we will show the latter fact

Wich statement could be used to explain why the function h(x)= x^3 has an inverse relation that is also a function

Afair die is cast four times. calculate the probability of obtaining exactly two 6's round to the nearest tenth of a percent

Look at this system of equations. -3x + 3y = 12 y = x + 4 the solution set of this system is best explained by which of these statements? a) the graphs of the equations are the same line because the equations have the same slope and the same y-intercept. the system has infinitely many solutions. b) the graphs of the equations are parallel lines because they have the same slope but different y-intercepts. the system has no solution. c) the graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. the system has exactly one solution. d) the graphs of the equations are lines that intersect at one point because the equations have the same slope and the same y-intercept. the system has exactly one solution.