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

answer: (3,11) is your answer.

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)