Question Details

(Solution) - If x and y are nonzero vectors in Rn and

Brief item decscription

Solution download


Item details:

If x and y are nonzero vectors in Rn and A = xyT, then the row echelon form of A will have exactly one nonzero row.
In this case answer true if the statement is always true and false otherwise. In the case of a true statement, explain or prove your answer. In the case of a false statement, give an example to show that the statement is not always true. For example, consider the following statements about n × n matrices A and B.
(i) A + B = B + A
(ii) AB = BA
Statement (i) is always true. Explanation: The (i, j) entry of A + B is aij + bij and the (i, j) entry of B + A is bij + aij. Since aij + bij = bij + aij for each i and j, it follows that A + B = B + A.
The answer for statement (ii) is false. Although the statement may be true in some cases, it is not always true. To show this, we need only exhibit one instance where equality fails to hold. Thus, for example, if

then
This proves that statement (ii) is false.

 







About this question:
STATUS
Answered
QUALITY
Approved
ANSWER RATING

This question was answered on: Jul 11, 2017

PRICE: $15

Solution~000131339285.zip (18.37 KB)

Buy this answer for only: $15

Pay using PayPal (No PayPal account Required) or your credit card. All your purchases are securely protected by PayPal.
SiteLock

Need a similar solution fast, written anew from scratch? Place your own custom order

We have top-notch tutors who can help you with your essay at a reasonable cost and then you can simply use that essay as a template to build your own arguments. This we believe is a better way of understanding a problem and makes use of the efficiency of time of the student. New solution orders are original solutions and precise to your writing instruction requirements. Place a New Order using the button below.

Order Now