Abstract Algebra

Well in linear algebra if given a vector space V,over a field F,and a linear function A:V->V (i.e for each x,y in V and a in F,A(ax+y)=aA(x)+A(y))then ''e" in F is said to be an eigenvalue of A ,if there is a nonzero vector v in V such that A(v)=ev.Now since every linear transformation can represented as a matrix so a more specific definition would be that if u have an NxN matrix "A" then "e" is an eigenvalue for "A" if there exists an N dimensional vector "v" such that Av=ev.Basically a matrix acts on an eigenvector(those vectors whose direction remains unchanged and only magnitude changes when a matrix acts on it) by multiplying its magnitude by a certain factor and

this factor is called the eigenvalue of that eigenvector.

Fomula(work with both clockwise/counterclockwise):(-x,-y)

Yes, every field is an integral domain.

The collision theory is when atoms, molecules or ions bash together or collide together.

Collision theory states that the rate of a reaction may be increased by : increasing pressure; raising the amount of heat energy; raising the concentration of the reactant and by introducing a catalyst.

It is not posible. The sum of five odd numbers must be odd. 30 is not odd.

It is a measure, in a straight line, equivalent to 0.3048 metres.

You'll have to be more specific.

Points: (3, 3) and (-6, -15)

Slope works out as: 2

17 years

Two friends & I putted our money 2gether for a road trip. When we got back, we had $45 left. If we split it evenly, how much will we each get? If I divide this way: 45/3=$15 Dividing this way: 3/15=3/15=1/5!

A solid understanding of mathematical principles is needed for drug dosage.

Nurses study chemistry, biology and biochemistry, so they have to be able understand things like rates of chemical reactions. Behavioural science involves statistics. All of these things need mathematics to at least the level of algebra.

Always the smaller of the two negative numbers is greater. So here -37>-43

If one number is positive and the other negative the positive number is always greater irrespective of its value. for e.g between 1 and -54

1>-54

Remember the number line. The numbers to the left is always smaller to the numbers on the right.

___|___|___|___|___|___|___|___|___|___|___|___|___|___|___|___|___|

...-55 -50 -45 -40 -35 -30 -25 -20 -15 -10 -5 0 5 10 15 20 25...

Value increases from left to right

----------------------------------------------------------------------------------------------->

so -55<-30<0<15<100 etc...

The old saying, if you have to ask....

Deka means 10.

1.Show it works for the loest value (substitute into separate ways of finding value)

2.Assume it works for x=k

3.Prove it works for x=k+1 by rearranging into required form

4.conclude

No, they are perpendicular.

The Least Common Multiple (LCM) of 7, 27, and 45 is 945.

7 is prime and 27 = 33; they have no common factors so their LCM is 7x27=189. Now bring in 45 = 32x5. The only new factor here is 5, so the LCM of the 3 numbers is 189x5 = 945.

You really could give a bit more information. That patent date just happens to be one I recognized as being used by J. Stevens on the model 311 and some other double barrel shotguns. If it is in useable condition (need to have an experienced gunsmith check it out if you have even the slightest doubt) a double barrel is worth $100-$250, depending on exact condition.

where is it shaking in the steering wheel or in the seat? shaking at certain speeds can be caused by a busted belt in a tire

A variable is a part of something or an equation that is able to vary or change.

7 + 7*3!/3 = 7 + 7*6/3 = 7 + 7*2 = 7 + 14 = 21

- 9 - 828 = - (9 + 828) = - (837) = - 837

The answer depends on the what the leading coefficient is of!

According to the Blue Book at oldguns.net, it is grouped under "general guns worth less than $100.00"

It is the matrix that results from carrying out whatever operations are to be carried out.