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
Viefleur [7K]
3 years ago
14

Given z1 = 1+i and z2 = 2+3i.

Mathematics
1 answer:
Margaret [11]3 years ago
4 0

Answer:

(a) w=2+5i-6=-4+5i

Multiplicative inverse of w will be \frac{1}{-4+5i}

(B) As w is same as the product of z_1\ and\ z_2

So there multiplicative inverse will also be same

Step-by-step explanation:

We have given two complex numbers

z_1=1+i and z_2=3+2i

(a) First we have to find w=z_1z_2

So w=(1+i)(2+3i)=2+3i+2i+6i^2=2+5i+6i^2

As we know that i^2=-1

So w=2+5i-6=-4+5i

Multiplicative inverse :

It is that number when multiply with the number which we have have to find the multiplicative inverse gives result as 1

So multiplicative inverse of w will be \frac{1}{-4+5i}

Because when we multiply -4+5i with \frac{1}{-4+5i} it gives result as 1

(b) As w is same as the product of z_1\ and\ z_2

So there multiplicative inverse will also be same

You might be interested in
You might need: Calculator Problem Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. One time while
Ksenya-84 [330]

Zane climb up in 33 seconds

44•33 = 1452 m.

so, Zane start from 1313 + 1452 = 2765 m below the edge.

to reach the edge with constant speed, Zane need 2765/44 = 62.84 seconds

we can round it to 63 seconds

7 0
2 years ago
Read 2 more answers
Help plz I beg you plz
zzz [600]
20 is the answer to this problem
6 0
3 years ago
Can a triangle be formed with the sides lengths of 8 cm, 5 cm and 13 cm?
Anni [7]

The rule says that the sum of any two sides has to be smaller than the third side so, no it can't

4 0
3 years ago
What the answer here?
Brut [27]

Answer:

x230x

Step-by-step explanation:

yan po ang tama na decimal pa breinlest at pa vote plsssssss thxxxxxxxx

3 0
3 years ago
9.21 <br><img src="https://tex.z-dn.net/?f=9.21%20%5Cdiv%200.4%20%3D%20" id="TexFormula1" title="9.21 \div 0.4 = " alt="9.21 \di
Whitepunk [10]
Let us do it by converting the 0.4 to a fraction, it has one decimal, so we'll use one zero at the denominator.

and 9.21 to a fraction as well, two decimals, thus two zeros at the denominator then,

\bf 9.21\div 0.4\\\\&#10;-------------------------------\\\\&#10;0.\underline{4}\implies \cfrac{04}{1\underline{0}}\implies \cfrac{4}{10}\implies \cfrac{2}{5}\qquad \qquad \qquad \qquad 9.\underline{21}\implies \cfrac{921}{1\underline{00}}\\\\&#10;-------------------------------\\\\&#10;9.21\div 0.4\implies \cfrac{921}{100}\div \cfrac{2}{5}\implies \cfrac{921}{100}\cdot \cfrac{5}{2}\implies \cfrac{921}{20}\cdot \cfrac{1}{2}\implies \cfrac{921}{40}&#10;\\\\\\&#10;23\frac{1}{40}\implies 23.025
3 0
3 years ago
Other questions:
  • The probability of spinning and landing on red is 20%. Meg spins the spinner 25 times and lands on red 10 times, or 40% of the t
    7·2 answers
  • What is the square root of 2
    14·2 answers
  • Find the unit rate please and thank you...
    5·2 answers
  • Is 8(4x-3) equal to 12x-3
    8·2 answers
  • Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plane p
    11·1 answer
  • I need help with this please help
    10·2 answers
  • What is the sum of 1-1+5-7+6
    5·1 answer
  • Y =x+4 what’s the answer?
    6·1 answer
  • Solve the equation for x:<br> 4x2 + 15x = 4<br> Show steps please
    14·1 answer
  • Need HELP PLS PIC ATTACHED
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!