Discussions Week Ending 4/08/22 by Felix Mariano

Jessemay Colon

2022-04-04 14:18:53 UTC

Prove that: (i) the sum of a complex number and its conjugate is real
(ii) the product of a complex number and its conjugate is real. The sum and product of two complex numbers are real if and only if they are conjugate of each other This always happens when a complex number is multiplied by its conjugate - a result is a real number. Once again, we have multiplied a complex number by its conjugate and an answer is a real number. This is a very important property that applies to every complex conjugate pair of numbers.

The product of complex conjugates is a sum of two squares and is always a real number.

hrodriguez80 — 2022-04-04 15:13:32 UTC

Mahogany s

2022-04-04 15:13:50 UTC

The product of complex conjugates is a sum of two squares and is always a real number.

Isaiah D

2022-04-04 15:15:03 UTC

It´s a sum of two squares and is always a real number.

2022-04-04 15:15:14 UTC

The properties of the sum and product of two complex conjugates are a sum of two squares and are always real. Hector B

kacey

2022-04-04 15:16:08 UTC

The conjugate of the product of the two complex numbers is equal to the product of the conjugates of the numbers.

Alberto

pmnfrrcjm6 — 2022-04-04 15:17:24 UTC

A complex conjugate of a complex number is another complex number that has the same real part as the original complex number and the imaginary part has the same magnitude but opposite sig

Jet

2022-04-04 15:18:42 UTC

The sum of a complex number and it conjugate is real because complex number are real if only they are conjugate of each other if that make sense.

Sarah

2022-04-04 15:19:27 UTC

equal to the product of the conjugates of the numbers

Brittany M

2022-04-04 15:20:46 UTC

The sum and product of two complex square conjugate to the sum of two squares that is a real number.

Michael H

2022-04-04 15:23:24 UTC

The sum and product of two complex square conjugate to the sum of two squares that is a real number.

Nichelle Alicea

2022-04-04 16:47:13 UTC

The product of complex conjugates is a sum of two squares and is always a real number.

merbelin

2022-04-04 23:31:00 UTC

the sum of a complex number and its conjugate is real

dorriana

2022-04-05 00:14:59 UTC

The properties of the sum and product of two complex conjugates are a sum of two squares and are always real.another complex number that has the same real part as the original complex number and the imaginary part has the same magnitude but opposite sig

2022-04-05 15:12:23 UTC

Complex numbers can be represented on the coordinate plane by mapping the real part to the x-axis and the imaginary part to the y-axis.

kacey

2022-04-05 15:12:58 UTC

map the real part to the x-axis and the imaginary part to the y-axis

hrodriguez80 — 2022-04-05 15:13:43 UTC

Complex numbers can be represented on the coordinate plane by mapping the real part to the x-axis and the imaginary part to the y-axis.

Brittany M

2022-04-05 15:13:57 UTC

Mapping the real part to the x- axis and the imaginary part to the y-axis.

janaya

2022-04-05 15:14:21 UTC

Complex numbers can be represented on the coordinate plane by mapping the real part to the x-axis and the imaginary part to the y-axis.

merbelin

2022-04-05 15:14:24 UTC

Complex numbers can be represented on the coordinate plane by mapping the real part to the x-axis and the imaginary part to the y-axis.

janaya

2022-04-05 15:15:13 UTC

The conjugate of the product of the two complex numbers is equal to the product of the conjugates of the numbers.

Isaiah D

2022-04-05 15:15:34 UTC

Complex numbers can be represented on the coordinate plane by mapping the real part to the x-axis and the imaginary part to the y-axis.

madeline

2022-04-05 15:16:23 UTC

Complex numbers can be represented on the coordinate plane by mapping the real part to the x-axis and the imaginary part to the y-axis. For example, the expression can be represented graphically by the point .

Alberto

pmnfrrcjm6 — 2022-04-05 15:17:01 UTC

represent a complex number we need to address the two components of the number. We use the complex plane, which is a coordinate system in which the horizontal axis represents the real component and the vertical axis represents the imaginary component.

Jet

2022-04-05 15:17:55 UTC

complex number can be represented on the coordinate plane by Mapping the real part to x axis and the imaginary part to the y axis.

Mahogany s

2022-04-05 15:20:09 UTC

Complex numbers can be represented on the coordinate plane by mapping the real part to the x-axis and the imaginary part to the y-axis.

Nichelle Alicea

2022-04-05 15:30:57 UTC

Complex numbers can be represented on the coordinate plane by mapping the real part to the x-axis and the imaginary part to the y-axis.

Jessemay Colon

2022-04-05 15:35:41 UTC

Complex numbers can be represented on the coordinate plane by mapping the real part to the x-axis and the imaginary part to the y-axis. For example, the expression can be represented graphically by the point .

Jayden G

2022-04-06 15:32:19 UTC

The polar form of a complex number z = x + iy with coordinates (x, y) is given as z = r cosθ + i r sinθ = r (cosθ + i sinθ).

Jessemay Colon

2022-04-06 15:33:04 UTC

The polar form of a complex number z = x + iy with coordinates (x, y) is given as z = r cosθ + i r sinθ = r (cosθ + i sinθ). The abbreviated polar form of a complex number is z = rcis θ, where r = √(x² + y²) and θ = tan^-1 (y/x).

alberto

2022-04-06 15:33:08 UTC

e polar form of a complex number z = x + iy with coordinates (x, y)

Mahogany

2022-04-06 15:33:12 UTC

The polar form of a complex number z = x + iy with coordinates (x, y) is given as z = r cosθ + i r sinθ = r (cosθ + i sinθ).

kacey

2022-04-06 15:33:50 UTC

z=x+iy with the coordinates (x, y)

Isaiah D

2022-04-06 15:34:19 UTC

The polar form of a complex number z = x + iy with coordinates (x, y) is given as z = r cosθ + i r sinθ = r (cosθ + i sinθ).

janaya

2022-04-06 15:34:31 UTC

z = rcis θ, where r = √(x² + y²) and θ = tan^-1 (y/x).

Jet

2022-04-06 15:45:01 UTC

The polar form of complex number, we use the formula x=rcos0, y=rsin0, and r=/x2+y2 then z=r(cos0+isin0)

Nichelle Alicea

2022-04-06 15:51:20 UTC

The polar form of a complex number z = x + iy with coordinates (x, y) is given as z = r cosθ + i r sinθ = r (cosθ + i sinθ).

madeliene

2022-04-06 15:53:05 UTC

The polar form of a complex number z = x + iy with coordinates (x, y) is given as z = r cosθ + i r sinθ = r (cosθ + i sinθ). The abbreviated polar form of a complex number is z = rcis θ, where r = √(x² + y²) and θ = tan^-1 (y/x).

amani

2022-04-07 03:48:33 UTC

the product of complex conjugates isa sum of two squares and is always a real number.

amani

2022-04-07 03:50:46 UTC

complex numbers can be represented on the coordinate plane by mapping the real part to the x-axis and the imaginary part to the y- axis.

Sarah

2022-04-07 15:14:36 UTC

map the real part to the x-axis and the imaginary part to the y-axis

Sarah

2022-04-07 15:14:52 UTC

The polar form of a complex number z = x + iy with coordinates (x, y) is given as z = r cosθ + i r sinθ = r (cosθ + i sinθ).

hrodriguez80 — 2022-04-08 13:00:25 UTC

z = x+iy

merbelin

2022-04-08 15:10:31 UTC

The polar form of a complex number z = x + iy with coordinates (x, y) is given as z = r cosθ + i r sinθ = r (cosθ + i sinθ).

manny

2022-04-08 15:28:29 UTC

the product of complex conjugates isa sum of two squares and is always a real number.

manny

2022-04-08 15:28:49 UTC

map the real part to the x-axis and the imaginary part to the y-axis

manny

2022-04-08 15:29:13 UTC

z = r cosθ + i r sinθ = r (cosθ + i sinθ)

ALBERTO

2022-04-11 15:16:10 UTC

kaiara

2022-04-26 19:38:01 UTC

map the real part to the x-axis and the imaginary part to the y-axis

kaiara

2022-04-26 19:38:21 UTC

z = r cosθ + i r sinθ = r (cosθ + i sinθ)

Nicole G

2022-04-28 03:07:06 UTC

The sum and product of two complex square conjugate to the sum of two squares that is a real number.

Nicole G

2022-04-28 03:07:34 UTC

Complex numbers can be represented on the coordinate plane by mapping the real part to the x-axis and the imaginary part to the y-axis.

Nicole G

2022-04-28 03:07:58 UTC

The polar form of a complex number z = x + iy with coordinates (x, y) is given as z = r cosθ + i r sinθ = r (cosθ + i sinθ).

Tobi

2022-05-03 02:34:03 UTC

According to Google, The conjugate of the sum of two complex numbers is equal to the sum of the conjugates of the two numbers. Here is the whole problem: The conjugate of the sum of two complex numbers is equal to the sum of the conjugates of the two numbers. Using a+bi and c+di to represent two complex numbers.

Tobi

2022-05-03 02:40:31 UTC

Complex numbers cannot be graphed regularly like other numbers. Instead, for complex numbers, you have to map the real part to the x-axis and the imaginary part to the y-axis. The real part could be any number, like 1, 2, 3, so on. The imaginary part would be a number with a letter attached to it, for example, 1i, 2i, 3i, and so on. A simple formula to follow would be a + bi = (a, b). So for example, 3 -2i would become (3, -2).

Tobi

2022-05-03 02:45:14 UTC

The polar form of a complex number is another way of representing complex numbers. The polar form is represented with the help of polar coordinates of real and imaginary numbers in the coordinate system. The abbreviated polar form of a complex number is z = rcis θ, where r = √(x² + y²) and θ = tan^-1 (y/x).