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If you have a set with "n" elements, you can form 2 to the power n subsets. This is because each element of the original set has two options: to be included, or not to be included, in a subset. So, for instance, for a set with four elements, you have 2 x 2 x 2 x 2 different possibilities to create subsets (2 to the power 4).Note 1: This includes the empty set, and the original set itself.
Note 2: The set of all subsets is known as the power set.
Note 3: It has been proven that the power set (of size 2 to the power n) is ALWAYS larger than the original set (of size n) - even for infinite sets. That means that the power set of an infinite set gives you a larger kind of infinity.
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What is the difference between algebra and linear algebra?
Linear Algebra is a special "subset" of algebra in which they only take care of the very basic linear transformations. There are many many transformations in Algebra, linear algebra only concentrate on the linear ones. We say a transformation T: A --> B is linear over field F if T(a + b) = T(a) + T(b) and kT(a) = T(ka) where a, b is in A, k is in F, T(a) and T(b) is in B. A, B are two vector spaces.
Why do you have to take Algebra 2?
Algebra 2 is not just a repeat of algebra, you are still studying the form of math called algebra but algebra is a wide topic and in Algebra 2 your simply getting into the more advanced aspects of that topic.
How many syllables does algebra have?
Algebra has three syllables.
What is the formulae for algebra?
There are many different formulas and equations for algebra.
Can you skip pre algebra and algebra and go into geometry?
You can get through many aspects of geometry without pre-algebra or algebra. However, when it comes to the measurement in geometry, you need algebra for that.
What is the difference between mathematics and algebra?
Algebra is a form (or subset) of mathematics.
What is subset in algebra?
malay ko
What kind of numbers will be considered for each subset?
Algebra
What is the no of generator in n order group?
In abstract algebra, a generating set of a group is a subset of that group. In that subset, every element of the group can be expressed as the combination (under the group operation) of finitely many elements of the subset and their inverses.
Different kinds of subset in algebra?
Π R.l (R) ⊆ Π S.l (S)
What is the difference between algebra and linear algebra?
Linear Algebra is a special "subset" of algebra in which they only take care of the very basic linear transformations. There are many many transformations in Algebra, linear algebra only concentrate on the linear ones. We say a transformation T: A --> B is linear over field F if T(a + b) = T(a) + T(b) and kT(a) = T(ka) where a, b is in A, k is in F, T(a) and T(b) is in B. A, B are two vector spaces.
What is Abelian algebra?
Abelian algebra is a form of algebra in which the multiplication within an expression is commutative.
How many 7 letter words can you form out of the word algebra?
Just the one.
When you want to build a form for a subset of data you can base the form on what?
Query
What is alternative algebra?
Alternative algebra is a form of algebra such that every subalgebra generated by two elements is associative.
Why do you use standard form in algebra?
You use standard form in algebra because you have to know the number before you answer the problem
What is simplifying form mean?
Simplifying form is the same as saying solve it or find the answer. At least that is what it means in Algebra and Pre-Algebra.
