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lisov135 [29]
3 years ago
7

Write as an algebraic expression: the product of a number and 6 i’m desperate plzzz

Mathematics
1 answer:
maxonik [38]3 years ago
7 0

Answer:

6n or 6 x n

Step-by-step explanation:

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All vectors are in Rn. Check the true statements below:
Oduvanchick [21]

Answer:

A), B) and D) are true

Step-by-step explanation:

A) We can prove it as follows:

Proy_{cv}y=\frac{(y\cdot cv)}{||cv||^2}cv=\frac{c(y\cdot v)}{c^2||v||^2}cv=\frac{(y\cdot v)}{||v||^2}v=Proy_{v}y

B) When you compute the product Ax, the i-th component is the matrix of the i-th column of A with x, denote this by Ai x. Then, we have that ||Ax||=\sqrt{(A_1 x)^2+\cdots (A_n x)^2}. Now, the colums of A are orthonormal so we have that (Ai x)^2=x_i^2. Then ||Ax||=\sqrt{(x_1)^2+\cdots (x_n)^2}=||x||.

C) Consider S=\{(0,2),(2,0)\}\subseteq \mathbb{R}^2. This set is orthogonal because (0,2)\cdot(2,0)=0(2)+2(0)=0, but S is not orthonormal because the norm of (0,2) is 2≠1.

D) Let A be an orthogonal matrix in \mathbb{R}^n. Then the columns of A form an orthonormal set. We have that A^{-1}=A^t. To see this, note than the component b_{ij} of the product A^t A is the dot product of the i-th row of A^t and the jth row of A. But the i-th row of A^t is equal to the i-th column of A. If i≠j, this product is equal to 0 (orthogonality) and if i=j this product is equal to 1 (the columns are unit vectors), then A^t A=I    

E) Consider S={e_1,0}. S is orthogonal but is not linearly independent, because 0∈S.

In fact, every orthogonal set in R^n without zero vectors is linearly independent. Take a orthogonal set \{u_1,u_2\cdots u_p\} and suppose that there are coefficients a_i such that a_1u_1+a_2u_2\cdots a_nu_n=0. For any i, take the dot product with u_i in both sides of the equation. All product are zero except u_i·u_i=||u_i||. Then a_i||u_i||=0 then a_i=0.  

5 0
3 years ago
Each tape diagram represents I whole.
Monica [59]

Hi! From what I know, your answer should be 5n = 1.75.

This is because all 5 of those n's ultimately equal the large box of 1.75 on the top. Think of it as fractions. if we replaced 1.75 with 1, those n's would each be 1/5.

4 0
3 years ago
At the snack bar, hot dogs cost $4 each and bottled water costs $2 each. In the first business hour of the day, less than $12 wo
mart [117]

Answer:

(2, 2)

Step-by-step explanation:

just say it was mental math

7 0
3 years ago
Read 2 more answers
Solve for x. Write your answer in the space below. 7x = 42.
nikitadnepr [17]

Answer:

x=6

Step-by-step explanation:

7x =42

7     7

 x=6

Divide 7 on both sides

3 0
3 years ago
What is the equation of the line with a slope of 2 through the points 2,4
Lera25 [3.4K]

Answer:

y = 2x

Step-by-step explanation:

y=mx+b

m=2

x=2

y=4

4=2*2 + b

b = 4 - 4

b = 0

y = 2x

4 0
3 years ago
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