(a) compute the rank and nullity of the following matrices: 3 17 2 1) a = 0 3 -1 | 1-3 4 -2 (1 -1 b= 2 -2 4 10 0 c 3 1 1) = 6 2 2 19 3 3 ) -8 feel free to use the rank-nullity theorem. (b) determine which of the above matrices is invertible and compute their inverse clearly showing your calculations. (c) suppose that a is an m xn matrix and b is an p x m matrix satisfying rank(b) = p and null(b) = rank(a). show that null(a) = n - m + p. hint. use the rank-nullity theorem.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

(-5,-28)

i graphed to on desmos.

yes

step-by-step explanation: