1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
In-s [12.5K]
3 years ago
7

14. Let R^2 have inner product defined by ((x1,x2), (y,, y2)) 4x1y1 +9x2y2 A. Determine the norm of (-1,2) in this space B. Dete

rmine the norm of (3,2) in this space.
Mathematics
1 answer:
Vitek1552 [10]3 years ago
7 0

The norm of a vector \vec x is equal to the square root of the inner product of \vec x with itself.

a. \|(-1,2)\|=\sqrt{\langle(-1,2),(-1,2)\rangle}=\sqrt{4(-1)^2+9(2)^2}=\sqrt{40}=2\sqrt{10}

b. \|(3,2)\|=\sqrt{\langle(3,2),(3,2)\rangle}=\sqrt{4(3)^2+9(2)^2}=\sqrt{72}=6\sqrt2

You might be interested in
What is 540% as a decimal
bekas [8.4K]
The answer to this question would be the decimal 5.4
6 0
3 years ago
Read 2 more answers
What is the discounted price of a $500 cell phone with a discount of<br> 10% ?
iren2701 [21]
My answer that I got was $500.00
5 0
3 years ago
What’s the perimeter of a rectangle with length x and width x-5
MrMuchimi

Answer:

P = 2(x + x - 5) = 2x - 10

Step-by-step explanation:

Formula for the perimeter of a rectangle: P = 3(l + L)

7 0
3 years ago
Which expressions are equivalent to -2.5(1-2n) - 1.5n
Keith_Richards [23]

Answer:

-5n - 4


Step-by-step explanation:

The goal is to simplify this expression.


1. Distribute

-2.5 * 1 = -2.5

-2.5 * 2n = -5n


Now, we have

-2.5 - 5n - 1.5


2. Combine like terms

-2.5 + (-1.5) = -4 (+ * - = -   The - cancels out the +)


3. Put it together

-5n - 4


I hope I helped!

Let me know if you need anything else!

~ Zoe



4 0
3 years ago
2x + y = 8 x + y = 4 The lines whose equations are given intersect at
aalyn [17]

The lines whose equations are given intersect at. (4, 0)

7 0
3 years ago
Other questions:
  • A school buys 200 calculators at a special price. x of them were scientific calculators at R89 a piece and the rest were financi
    5·2 answers
  • PLEASE HELP WHAT IS THE UNIT RATES OF THIS
    6·2 answers
  • Tim’s age ,t, is not 21 years old
    11·2 answers
  • Which number is composite?<br> a. 79<br> b. 87<br> c. 89<br> d. 97
    13·1 answer
  • Which statements about doubling an investment are true? Check all that apply.
    6·1 answer
  • Which mixed number is equivalent to 38 divided by 7
    14·1 answer
  • Rachel, Trey, and Juan sent a total of 85 text messages over their cell phones during the weekend. Rachel sent 10 more messages
    14·1 answer
  • Kayla works in a department store selling clothing. She makes a guaranteed salary of $300 per week, but is paid a commision on t
    6·1 answer
  • Write each sentence as an equation.
    12·2 answers
  • Identify the geometric mean of 8 and 20 in simplest radical form.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!