G Problem 1. (4 points) Suppose A is a matrix of size 5 by 5. Which of the following statements must be TRUE? (I) Eigenvalue of A can be zero, but eigenvector of A cannot be a zero vector. (II) If λ is an eigenvalue of A, then the nullity of A − λI must be at least one. (III) If det(A − λI) = −(λ − 5)2 (λ + 4)3 then λ = 5 is said to have algebraic multiplicity 2 and λ = −4 is said to have algebraic multiplicity 3. (A) I only (B) II only (C) III only (D) II and III only (E) I, II, and III

lol

step-by-step explanation:

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

30 people weigh 160 pounds or more

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.