Describe the algebraic properties of dot product. (a) Is it right-distributive over addition: (b) Is it left-distributive

Question:

Describe the algebraic properties of dot product.
(a) Is it right-distributive over addition:

(b) Is it left-distributive (over addition)?
(c) Does it commute?
(d) Associate?
(e) How does it interact with scalar multiplication?
As always, you must back any assertion with either a proof or an example.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

See More Books

Question Posted: Jun 01, 2016 01:47 AM

See More Questions

If A1, A2, , Ak, is an infinite sequence of n Ã n matrices, then the sequence is said to converge to the n Ã n matrix , A if the entries in the ith row and jth column of the sequence...
How does the inverse operation interact with scalar multiplication and addition of matrices? (a) What is the inverse of rH? (b) Is (H + G)-1 = H-1 + G-1?
Describe the significance of the algebraic sign and the magnitude of r.
In 2020-21, a taxpayer makes a number of disposals, as listed below. Which of these disposals would be exempt from CGT? (a) An antique table sold for 5,000. (b) A watercolour painting sold at...
A start-up company that makes hydraulic seals borrowed $800,000 to expand its packaging and shipping facility. The contract required the company to repay the investors through an innovative mechanism...
Review the elements of strategic missions in Exhibit 1-1. Assume that you are managing a small business that sells coffee, espresso, and possibly various other drinks in a universitys engineering...
Jones Products manufactures and sells to wholesalers approximately 400,000 packages per year of under water markers at $6 per package. Annual costs for the production and sale of this quantity are...
A risky $400,000 investment is expected to generate the following cash flows: a. If the firms cost of capital is 10 percent, should the investment be made? b. An alternative use for the $400,000 is a...
Scott has saved $560 per quarter for the last three years in a savings account earning 5.20% compounded quarterly. He plans to leave the accumulated savings for a further seven years in the savings...
Ten years ago Diana Torres wrote what has become the leading Tort textbook. She has been receiving royalties based on revenues reported by the publisher. These revenues started at $1 million in the...
Is any vector perpendicular to itself?
Verify the equality condition in Corollary 2.6, the Cauchy-Schwarz Inequality. (a) Show that if is a negative scalar multiple of then are less than or equal to zero. (b) Show that if and only if one...
Linear Independence is of basic importance, in this chapter, in connection with general solutions, as explained in the text. Are the following functions linearly independent on the given interval?...
2.11.2Project:Performance Task: The Parallax Problem Project Geometry Sem 1 (S3537251) Julio Duenas Points possible:120 Date: ____________ The Scenario:You're looking for a sponsor to pay for you to...
If the most common treatment of assigning overapplied overhead was used, the final balance in Cost of Goods Sold would have been * (1 Point) At the end of the last fiscal year, BREAD Company had the...
Angelina received new word processing software for her birthday. She also received a cheque with which she intends to purchase a new computer. Angelina's UNILUS Professor assigned a paper due in two...
At date t, the portfolio P to be hedged is a portfolio of Treasury bonds with various possible maturities. Its characteristics are as follows: Value YTM MD Convexity $1,450 6% 4.25 55 We consider...
A playground merry-go-round with an axis at the center (radius R = 1.3 m and rotational inertia | = 1.2 x 103 kgm2) is initially rotating at angular velocity w = 0.21 rad/s clockwise). A girl of mass...
Differentiate between the multiple-step and the single-step forms of the income statement.
Show, if u(x, y) and v(x, y) are harmonic functions, that u + v must be a harmonic function but that uv need not be a harmonic function. Is e"e" a harmonic function?
Suppose the coal and steel industries form a closed economy. Every $1 produced by the coal industry requires $0.30 of coal and $0.70 of steel. Every $ 1 produced by steel requires $0.80 o f coal and...
A painter, a plumber, and an electrician enter into a cooperative arrangement in which each of them agrees to work for himself/herself and the other two for a total of 10 hours per week according to...
Four neighbors, each with a vegetable garden, agree to share their produce. One will grow beans (B), one will grow lettuce (L), one will grow tomatoes (T), and one will grow zucchini (Z). Table 2.9...
The Regal Cycle Company manufactures three types of bicyclesa dirt bike, a mountain bike, and a racing bike. Data on sales and expenses for the past quarter follow: Total Dirt Bikes Mountain Bikes...
?? A local college is deciding whether to conduct a campus beautification initiative that would imvolve various projects, such as planting trees and remodeling bulidings, to make the campus more...
A company has net income of $196,000, a profit margin of 9.7 percent, and an accounts receivable balance of $135,370. Assuming 70 percent of sales are on credit, what is the companys days sales in...

Describe the algebraic properties of dot product. (a) Is it right-distributive over addition: (b) Is it left-distributive

Question:

(u+v)•w u• w +v• w?

Step by Step Answer:

In each item below assume that the vectors have components u 1 u n ...View the full answer

Linear Algebra

Students also viewed these Linear Algebra questions