In this problem p and q are symmetric matrices. for each statement below, either give a proof or a specific counterexample. a) if p ≥ 0 then p + q ≥ q. b) if p ≥ q then −p ≤ −q. c) if p > 0 then p −1 > 0. d) if p ≥ q > 0 then p −1 ≤ q−1 . e) if p ≥ q then p 2 ≥ q2 . hint: you might find it useful for part (d) to prove z ≥ i implies z −1 ≤ i.

answer: sorry i can't you.

step-by-step explanation:

a 270° rotation about point p says on e d g e n u it y (had to space it out because it says it's a misspelling so i couldn't submit it

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.