0
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 does rounding numbers mean in math?
It means estimating certain numbers to the nearest whole number.
For example, When you have a number like 335.788889999, you would not want to write the entire number or use that number for any of your arithmetic operations like addition or subtraction or multiplication ,etc. So in order to make it easier or for comfort, we round the numbers or estimate it to the nearest whole number. Now, that number can also be written as 336 and this is known as rounding of numbers.
(n^2-n)/2-1
75 pounds of the 80 cent nuts and 15 of the 50 cent nuts.
What does truncate mean in math terms?
truncate means to add the whole number to whatever else you have,and then multiply it by your fraction
How do you multiply 3x3 matrices by 1x3 or 3x1?
First of all, if we have any two matrices of sizes mxn and pxq where m, n, p and q are natural numbers, then we must have n=p to be able to multiply the matrices. The result is an mxq matrix.
For example, a 3x1 matrix has m=3 and n=1. We can multiply it with any matrix of size 1xq. For example a 2x3 matrix can be multiplied with a 3x1 matrix which has 3 rows and 1 column and the result is a 2x1 matrix. (2x3) multiplies by (3x1) gives a (2x1) matrix. The easy way to remember this is write the dimension of Matrix A and then Matrix B. The two inner numbers must be the same and the two outer numbers are the dimensions of the matrix you have after multiplication.
For example Let Matrix A have dimensions (axb) multiply it by matrix B which has dimensions (bxc) = the result is matrix of dimensions ac. Using the trick we would remind ourselves by writing (a,b)x(b,c)=(a,c). This is technically wrong because the numbers are dimensions, but it is just a method to help students remember how to do it.
So, a 3x3 matrix can be multiplied by a 3x 1 but not by a 1,3 matrix.
How do you do it? Just multiply each entry in the first row of A by each entry in the first column of B and add the products. Do the same for the next row etc.
Many (or should I honestly say MOST) people use their fingers and go along row one and then down column one. The add the products of the entries as they do that. Then they do the same for row two and column two etc. It really does help!
How many numbers can 15 go into?
The answer is Infinity. Numbers keep going up and up and never stop. Therefore fifteen will keep going into a bigger number each time. HOWEVER, if you meant 'how many numbers go into fifteen' , the answer would be 4. Four numbers (1,3,5 and 15) go into 15.
To find the value of n
-7n=63
n=63/-7
n-9
Hence,-9 is the required answer.
What are the multiplies of 15?
They are elements of the infinite set of numbers of the form 15*k where k is an integer.
What are the properties of a group?
In abstract algebra, the properties of a group G under a certain operation are:
- Associativity: (ab)c = a(bc) for all a, b and c belonging to G
- Identity: Identity e belongs to G.
- Inverse: If ab = ba = a, where a is the identity, then b is the inverse of a.
e is derived in several different ways.
One way is the infinite sum:
e = 1 + 1/1! + 1/2! + 1/3! + ...
Another is to note that the function 2^x has a gradient of approx 0.6931*2^x while 3^x has a gradient of 1.0986*3^x. Therefore by continuity (and the intermediate value theorem), there must be a value between 2 and 3 such that the gradient of the curve has the same value as the curve. This value is e.
What does terms of an expression mean?
An expression is a collection of numbers and variables, along with mathematical operations, but without an equality (or inequality) symbol.
How can you use a graph to find zeros of a quadratic function?
The zeros of a quadratic function, if they exist, are the values of the variable at which the graph crosses the horizontal axis.
How do you turn a question into an equation?
It depends on what the question is and what level of mathematics you have mastered.
Unfortunately, the browser used by Answers.com for posting questions is incapable of accepting mathematical symbols. This means that we cannot see the mathematically critical parts of the question. We are, therefore unable to determine what exactly the question is about and so cannot give a proper answer to your question. Please edit your question to include words for symbols and resubmit.
What type of triangle has side lengths of 23 24and 24?
An isoceles triangle! It has two lengths the same!
