Prove that ||๐’›_๐Ÿ|+|๐’›_๐Ÿ||โ‰ค |๐’›_๐Ÿ+๐’›_๐Ÿ|โ‰ค |๐’›_๐Ÿ|+|๐’›_๐Ÿ| | Complex Numbers | Properties of Complex Numbers

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ะŸะพะบะฐะทะฐั‚ัŒ ะพะฟะธัะฐะฝะธะต
In this video we discussed example of complex numbers by using properties of complex numbers and proved that ||๐’›_๐Ÿ|+|๐’›_๐Ÿ||โ‰ค |๐’›_๐Ÿ+๐’›_๐Ÿ|โ‰ค |๐’›_๐Ÿ|+|๐’›_๐Ÿ| .
#PythagorasMath #ComplexNumbers #PropertiesOfComplexNumbers

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  1. Pythagoras Math
  2. pythagoras math
  3. prove that ||๐’›_๐Ÿ| |๐’›_๐Ÿ||โ‰ค |๐’›_๐Ÿ ๐’›_๐Ÿ|โ‰ค |๐’›_๐Ÿ| |๐’›_๐Ÿ|
  4. complex numbers
  5. properties of complex numbers
  6. ||๐’›_๐Ÿ| |๐’›_๐Ÿ||โ‰ค |๐’›_๐Ÿ ๐’›_๐Ÿ|โ‰ค |๐’›_๐Ÿ| |๐’›_๐Ÿ|
ะ ะตะบะพะผะตะฝะดะฐั†ะธะธ ะฟะพ ั‚ะตะผะต
Prove that |1 0:05:07

Prove that |1 - z1*conjugate(z2)|^2 - |z1 - z2|^2 = [1 - |z1|^2][1 - |z2|^2].

Prove |z1+z2+z3|^2+|-z1+z2+z3|^2+|z1-z2+z3|^2+|z1+z2-z3|^2=4[|z1|^2+|z2|^2+|z3|^2]. 0:09:51

Prove |z1+z2+z3|^2+|-z1+z2+z3|^2+|z1-z2+z3|^2+|z1+z2-z3|^2=4[|z1|^2+|z2|^2+|z3|^2].

How to prove 0:11:32

How to prove that (z1+z2)/(z1-z2) is purely imaginary when |z1|=|z2| using geometrical means

6. Prove that 0:11:05

6. Prove that |z1+z2|^2+|z1-z2|^2=2(|z1|^2+|z2|^2) for complex numbers z1 and z2

Prove |z1+z2|^2+|z1-z2|^2=2(|z1|^2+|z2|^2) for 0:04:04

Prove |z1+z2|^2+|z1-z2|^2=2(|z1|^2+|z2|^2) for any Complex no | Properties of Complex Numbers

Prove that |Z1+Z2|โ‰ค 0:11:00

Prove that |Z1+Z2|โ‰ค |Z1|+|Z2| and |Z1+Z2|โ‰ฅ ||Z1|-|Z2|| for Complex Numbers

if |Z1| =|Z2|=......=|Zn|=1 0:02:20

if |Z1| =|Z2|=......=|Zn|=1 prove that |Z1 + Z2 + Z3 +.....+Zn | = | 1/Z1 +1Z2 +1/Z3 + .....+1/Zn l

1 Minute: Prove 0:01:06

1 Minute: Prove That Im(z)=(z - zฬ…)/(2i)

Prove that (z1)^2 0:03:04

Prove that (z1)^2 + (z2)^2 + (z3)^2 = 0 if z1 + z2 + z3 = 0 and |z1| = |z2| = |z3| = 1.

11th.. for any 0:06:35

11th.. for any two complex numbers Z1 and Z2, prove that Re(Z1 Z2)=Re Z1 Re Z2 - Im Z1 Im Z2.

if izยณ + 0:02:38

if izยณ + zยฒ - z + I = 0 then show that |z| =1 | complex number

2. For any 0:02:18

2. For any two complex numbers z1 and z2, prove the Re(z1.z2)= Re z1 Rez2- Im z1 Imz2

2. Find the 0:05:12

2. Find the greatest and least values of |Z1+Z2| or Prove that |z1+z2|โ‰ค|z1|+|z2| | AdnanAlig

proof of modulus 0:13:02

proof of modulus property## mod of๏ผˆ Z1/Z2 ๏ผ‰= ๏ผˆmodZ1๏ผ‰/๏ผˆmodZ2๏ผ‰# Youtubevideo

If| z1| = 0:02:36

If| z1| = |z2| = ... = |zn | = 1 , then show that |z1+z2+z3+.....zn| = |1/z1 + 1/z2 + 1/z3+...+1/zn|

Show that Re(iz)=-Im(z) 0:02:53

Show that Re(iz)=-Im(z) for any complex number z.

If z is 0:04:20

If z is a complex number such that |z| = 1 , prove that (z - 1)/(z + 1) is purely imaginary. 11th

10. If z 0:03:28

10. If z =cos ฮธ + ๐’Š sin ฮธ, Prove Zโฟ โ€“ 1/Zโฟ = 2 sin nฮธ ๐’Š . ๐Ÿ’ฅ๐ŸŒป Complex Number Z^n โ€“ 1/Z^n = 2 sin nฮธ i...

5.Find the greatest 0:23:14

5.Find the greatest and least values of |Z1+Z2| or Prove that ||z1|-|z2||โ‰ค|z1+z2|โ‰ค|z1|+|z2|

If `z=x+iy and 0:06:13

If `z=x+iy and |z|=1`, show that `(z-1)/(z+1)(z!=-1)` is a purely imaginary quantity.

Complex Analysis Proof: 0:01:55

Complex Analysis Proof: z^(-1) = conjugate(z)/|z|^2

Prove the function 0:03:58

Prove the function f:Z x Z โ†’ Z given by f(m,n) = 2m - n is Onto(Surjective)

For all \( 0:03:40

For all \( z \in C \), prove that \[ z \bar{z}=|z|^{2} \]

Prove y = 0:14:38

Prove y = 0 or x^2+y^2=1 if z = x+iy is a non zero complex number and z+1/z=k;k is real