) Find a basis for the column space of A. What is the dimension of this basis? (b) Use Gram-Schmidt to find an orthonormal basis for the column space of A: {~q1, ~q2, ~q3}. (c) Find a fourth vector ~q4 that completes the basis you have found in part (a) to an orthonormal basis of R 4 . To which of the 4 fundamental spaces related to A does ~q4 belong to?

Lassify the function as linear or quadratic and identify the quadratic, linear, and constant terms. f(x) = (3x + 2)(−6x − 3) linear function; linear term: −21x; constant term: −6 linear function; linear term: −18x2; constant term: −6 quadratic function; quadratic term: 6x2; linear term: 24x; constant term: −6 quadratic function; quadratic term: −18x2; linear term: −21x; constant term: −6

Assume that a population of 50 individuals has the following numbers of genotypes for a gene with two alleles, b and b: bb = 30, bb = 10, and bb = 10. calculate the frequencies of the two alleles in the population’s gene pool.

Find the image of a(4, -2) after it is reflected over the line y= 2, then reflected over the line x = 2. (-8,6) o (0.-2) o (0,6) (-8, -2)