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Abstract Algebra
Have you ever wondered what would happen if you redefined some of the basic rules of algebra so that concepts you took for granted, like AB = BA, no longer apply? Abstract algebra does just that through the study of the properties that define algebraic structures. Post all questions about fields, rings, group theory, vector spaces, and the axioms that define them into this category.
1,849 Questions
What is contradiction in algebra?
There are many ways of interpreting "contradiction" in mathematics. Some meanings are:
- Contradiction as in proof. You attempt to give the counter-proof of the theorem, but the counter-proof fails to work.
- Contradiction as in mathematical logic. If biconditional fails, we include the slash through the double arrows pointing left and right at opposite directions.
- Contradiction as in negation of the clause.
It is the input value to the function called "f(x)"
If f(x)= x + 1, an input value of 2 ( x equals 2) would give us 2 + 1, or 3.
If you mean a slope of -1 then it is: y = -x+5
What are the uses of plotting points in cartesian plane?
They are the coordinates of x and y to plot out straight lines or curves on the Cartesian plane
How do you factor 8x2-2xy-3y2?
8x2= 16
16-2xy=14xy
14xy-3y(2)= 11x
11xX2= 22x
Answer - 22x............... Happy Birthday ! (;
How do you write a radical with an odd index?
You could write is as 6^(1/3) or 6^(1/5).
If you wanted to use the radical symbol, you would use a superscript 3 or 5 (respectively) in front of the radical symbol. Unfortunately, this browser does not support such luxuries.
What does it mean when a number is in parentheses in math?
It means you have to solve the problem in parentheses first.
ex: 2X4+5= 13; 2X (4+5) = 18. The answer is different because
you have to solve the problem in the Order of Operations.
1) Parentheses
2) Exponents like 22
3) Multiplication
4) Division
5) Addition
6) Subtraction
PEMDAS or Please Excuse My Dear Aunt Sally.
What is principal axis in hyperbola?
The principal axis of a hyperbola is the straight line joining its two foci.
Is -9.09 less than or greater than -9.1?
When dealing with negative numbers, the smaller the number means it has greater value. So -9.09 is greater than -9.1, in other words: -9.09 > -9.1
Prove that a matrix which is both symmetric as well as skew symmetric is a null matrix?
Let A be a matrix which is both symmetric and skew symmetric.
so AT=A and AT= -A
so A =- A
that implies 2A =zero matrix
that implies A is a zero matrix
A pie was cut into 8 equal slices half of the pie was eaten what fraction of the pie was left?
whole pie = 8/8
half pie = 4/8 = 2/4 = 1/2
Can terms also be expressions?
Be more specific what is a "term" and an "expression"
I am gonna assume by term you mean terms of a sequence, of course you can. Take a sequence of functions, each function is a graph, some of them can be written as expressions.
My argument is definitely Calculus.
What do you mean by literals in boolean algebra?
A literal is either a variable or a negated variable.
Where can you get math help for free and they show you the work?
Dr. Math. google it. Also, I am creating one. But for simple High School Math though.
What does position to term rule mean in maths?
In the study of sequences, given a number n, the position to term rule tells you how the nth term of the sequence is calculated.
What is null space of linear transformation?
The null space describes what gets sent to 0 during the transformation. Also known as the kernel of the transformation. That is, for a linear transformation T, the null space is the set of all x such that T(x) = 0.
What is a Matrix organazation?
In a matrix organisation an employee can be assigned to work units in either or both of two different ways. As in most organisations the employee will have a more or less permanent assignment to one organisational unit with its own supervisor. Then, usually for projects or tasks of a limited duration in time, the same employee might be assigned to a team with a different supervisor along with other employees from other organisational units who would not customarily work together.
