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Tatiana [17]
3 years ago
9

What is an algebra?​

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
8 0
In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.
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Let T: Rn → Rn be an invertible linear transformation, and let S and U be functions from Rn into Rn such that
ipn [44]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

T: 1 \ R^n \to  1 \ R^n is invertible lines transformation

S[T(x)]=x \ and \ V[T(x)]=x \\\\t'x \  \varepsilon\ 1 R^n\\\\

T is invertiable linear transformation means that is  

T(x) =A x \\\\ where \\\\ A= n \times n \ \ matrix

and \ det(A) \neq 0 \ \ that \ is \ \ A^{-1} \ \ exists

Let

V \varepsilon\  a\  R^{n} \ consider \ \ u= A^{-1} v \varepsilon 1 R^n\\\\T(u)= A(A^{-1} v)=(A \ A^{-1}) \\\\ v= I_{n \times n} \cdot v = v

so,  

s[T(u)]=v[T(u)]\\\\s(v)=v(v) \ \  \forall \ \ v \ \ \varepsilon \ \ 1 R^n

7 0
2 years ago
What is the expanded form of this number?
creativ13 [48]

Answer:

I think it's C

Step-by-step explanation:

7 0
3 years ago
Factor x^2 + 4x - 21
babymother [125]

Answer:

(x - 3)(x + 7)

Step-by-step explanation:

x^2 + 4x - 21

=> x^2 + 7x - 3x - 21

=> x(x + 7) -3(x + 7)

=> (x + 7)(x - 3)

5 0
3 years ago
Read 2 more answers
Find the exact value of tan22.5 using the half angle formula.
mote1985 [20]
Tan(a/2) = sin a / (1 + cos a)
tan(45/2) = sin(45) / (1 + cos(45)) = (1/√2) / (1 + 1/√2) = (1/√2) / (√2 + 1)/√2  = 1/(√2 + 1) = (√2 - 1)
7 0
3 years ago
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Waht is this plz help ​
Nata [24]

Answer:

The answer is 10 and 37 degrees.

Step-by-step explanation:

Triangle angles add up to 180.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

5 0
2 years ago
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