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
Anon25 [30]
3 years ago
9

So here is a theoretical question. Let L1 and L2 be linear transformation from a vector space V into Vector space W. Let {v1,v2,

....,vn} be a basis for V. Show that if L1(vi)=L2(vi) for i=1,2,....,n then L1(v)=L2(v) for any v in V. ...?
Mathematics
1 answer:
noname [10]3 years ago
6 0
<span>if v belongs to V, then we can find scalars a1,a2,...,an, such that v=a1*v1+a2*v2+...+an*vn, L1(v)=L1(a1*v1+a2*v2+...+an*vn) =a1*L1(v1)+a2*L1(v2)+...+an*L1(vn) =a1*L2(v1)+a2*L2(v2)+...+an*L2(vn) =L2(a1*v1+a2*v2+...+an*vn) =L2(v)</span>
You might be interested in
A bag of baseballs cost 9.99 dollars and each bag contains 6 baseballs. if the baseballs were sold individually, how much would
user100 [1]

The price of each ball in a baseball bag would be 1.665 dollars

It is given that,

The cost price of a bag of baseball bag = 9.99 dollars

The number of balls in each bag = 6 baseballs

Now, we need to find the cost of one baseball if it were to sold individually

To find the cost of one quantity out of a bunch we divide the bunch price with the number of quantities in the bunch

Here, in this case

The cost price of each ball = \frac{Total cost of a baseball bag }{number of balls in each bag}

= \frac{9.99}{6}

= 1.665 dollars

Hence, the price of each ball in a baseball bag would be 1.665 dollars

To learn more about, cost price here,

brainly.com/question/11027396

#SPJ4

5 0
2 years ago
The qoutient of any two nonzero integers is an integer. True or false
guapka [62]
False.

Here is a counterexample.

3/4= 0.75

3 and 4 are both integers but the quotient is 0.75 which is not an integer. 0.75 is a rational number.
8 0
3 years ago
Anyone know this? Let me know
mixas84 [53]
Use the pythagoras theorem
And the answer will be 36.
5 0
3 years ago
Need help on this question please!
podryga [215]

Answer:

The answer is -46

6 0
3 years ago
If the parent function is y=4*, which is the function of<br> the graph?
Vaselesa [24]

Answer:

The answer is y = 3(4)^x or answer choice C

8 0
2 years ago
Other questions:
  • Square root of 1/121 simplified
    11·1 answer
  • The ordered pair for an x-intercept has an x-value of 0 A.True or False
    14·2 answers
  • Hello - I won't be able to go to bed if I don't solve this thing.
    12·2 answers
  • As part of the proof, find the midpoint of PR
    13·1 answer
  • How do I solve this please help no links
    5·1 answer
  • What is the angle of AHM?
    8·2 answers
  • 1. The perimeter of AXYZ is
    11·1 answer
  • What is the equation of this graph?
    5·2 answers
  • A number is divisible by 11 if the sum of the digits in the odd places and the sum of the digits in the even places are equal or
    11·1 answer
  • Which is the graph of f(x)=3√x
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!