Let V be a5 × 3 matrix whose columns are orthonormal vectors v1, v2, v3 in 5 (b) Write a singular value decomposition for PV that includes the vectors v1, v2, v3. What are the singular values of PV ? (c) Show that PVPV =PV (d) Show that the range of the matrix I − PV is the null space of PV and, moreover, (I − PV ) (I − PV ) = I − PV . The matrix PV is the orthogonal projector to V , and I − PV is the ⊥ R . Show that

Guys i need ! graded assignment grade 8 checkpoint 2, part 2 answer the questions below. when you are finished, submit this assignment to your teacher by the due date for full credit. total score: of 9 points (score for question 1: of 4 points) 1. the cost of renting a car for a day is $0.50 per mile plus a $15 flat fee. (a) write an equation to represent this relationship. let x be the number of miles driven and y be the total cost for the day. (b) what does the graph of this equation form on a coordinate plane? explain. (c) what is the slope and the y-intercept of the graph of the relationship? explain.

Acone is placed inside a cylinder. the cone has half the radius of the cylinder, but the height of each figure is the same. the cone is tilted at an angle so its peak touches the edge of the cylinder’s base. what is the volume of the space remaining in the cylinder after the cone is placed inside it?

As a salesperson you get $53/day and $3.75/ each sal you make. if you want to make at least $128 in one day, how many sales would you need to make? a 10b 15c 20d 25