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
jasenka [17]
3 years ago
5

Show that the transformation T defined byT(x1, x2) = (2x1 - 3x2, X1+4, 5x2) is not linear.​

Mathematics
1 answer:
erastovalidia [21]3 years ago
4 0

Let <em>u</em> = (1, 0) and <em>v</em> = (0, 1). Then

<em>T</em> (<em>u</em>) = (2*1 - 3*0, 1 + 4, 5*0) = (2, 5, 0)

<em>T</em> (<em>v</em>) = (2*0 - 3*1, 0 + 4, 5*1) = (-3, 4, 5)

=>   <em>T</em> (<em>u</em>) + <em>T</em> (<em>v</em>) = (-1, 9, 5)

but

<em>T</em> (<em>u</em> + <em>v</em>) = <em>T</em> (1, 1) = (2*1 - 3*1, 1 + 4, 5*1) = (-1, 5, 5)

=>   <em>T</em> (<em>u</em> + <em>v</em>) ≠ <em>T</em> (<em>u</em>) + <em>T</em> (<em>v</em>)

which means <em>T</em> does not preserve addition, so it is not linear.

You might be interested in
What is the product of (x+3)(x+5)
Citrus2011 [14]

Answer:

x^{2}+8x+15

Step-by-step explanation:

we apply the distributive property

so we have

(x+3)*(x+5)

x*x+5*x+3*x+3*5

finally

we have

x^{2} +8x+15

5 0
3 years ago
Read 2 more answers
What is the length of the base of a triangle with height 20 cm and area 150 cm2?
RSB [31]
<span>For you: Area = 150 and height = 20 


Plugging those into the formula, you get 
Multiply .5 and 20: 
To get base by itself, divide by 10 on both sides:  

The base is 15 cm.</span>
4 0
3 years ago
Read 2 more answers
What is the nth term rule of the linear sequence below?
Solnce55 [7]

Answer:

tn=a+(n-1)d

tn=22+(n-1)4

tn=22+4n-4

tn=4n+18

7 0
3 years ago
Help help me please!!!!!!!​
Makovka662 [10]

Answer:

okay so the first question says divide :40203 by 13

= after dividing the quotient comes as 3092

Step-by-step explanation:

then to verify the answer using division algorithm

the formula is as dividend = (q x d) + remainder

so the verification= 13 x 3092 + 7 = 4023

the second question says to find the difference between the pv of two 4's in 948475

the answer is 40000 - 400 = 39600ans.

the third question's answer will be:

amount mohan deposited in his savings Bank account= ₹35000

amount he withdrawed = ₹6245

therefore total amount of money left in his account =

₹28755ans.

Hope it helps!!!!!!!!!!

pls mark as brainliest!!!!!!

6 0
3 years ago
The volume of a cube is 1,728 cubic units. What is the length of one side?
nalin [4]
The volume of a rectangular prism is always LWH=V, the cube is a special prism in that L=W=H are all equal so:

V=s^3  where s is the length of all sides...

s^3=1728

s=1728^(1/3)

s=12 units
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the measure of
    5·1 answer
  • Solve the inequality 5m &lt; –25
    13·2 answers
  • Find the balance in the account to the nearest whole dollar:
    9·1 answer
  • An airplane has a total of 152 seats. the number of coach class seats is 5 more than six times the number of first class seats.
    10·1 answer
  • ∠AOB is shown on a coordinate plane. Select all of the following transformations that would preserve the measure of ∠AOB . Answe
    15·1 answer
  • 9 - 3 ( 5 - 4 x ) =====
    6·2 answers
  • Identify the center and intercepts of the conic section
    10·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%20%5Cfrac%7B6%7D%7B%20%5Csqrt%7B54%7D%20%7D%20" id="TexFormula1" title=" \frac{6}{ \sqrt{
    8·1 answer
  • Solve for x.<br><br> −3x + 2b &gt; 8
    7·1 answer
  • The coefficients corresponding to k = 0, 1, 2, ..., 5 in the expansion of (x + y) 5
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!