MES Links
In this video I rewrite and reinterpret complex numbers as being simply the rotations of a vector. This concept was first brought to my attention by Fractal Woman YouTube channel, so make sure to check out her work. https://peakd.com/hive-128780/@mes/complex…
Complex Numbers: Definition and Vector Form #mathematics #vectors #complexnumbers https://youtu.be/AwZYBIvaSqI
YouTube
Complex Numbers: Definition and Vector Form
In this video I go over complex numbers, their definition as well as representing them in vector form. Complex numbers involve the imaginary unit "i", which is defined such that i^2 = -1. They are called "imaginary" because no real number can satisfy that…
MES Links
In this video I rewrite and reinterpret complex numbers as being simply the rotations of a vector. This concept was first brought to my attention by Fractal Woman YouTube channel, so make sure to check out her work. https://peakd.com/hive-128780/@mes/complex…
Rotation Matrix is Equivalent to a Complex Number #mathematics #complexnumbers #matrix #vectors https://youtu.be/FiR8R4Mx_fU
YouTube
Rotation Matrix is Equivalent to a Complex Number
In this video I go over a pretty amazing property of the Rotation Matrix, which is that it can be viewed as equivalent to a complex number! I show this by writing the Rotation Matrix as an addition of two matrices. The properties of the first matrix, called…
MES Links
In this video I rewrite and reinterpret complex numbers as being simply the rotations of a vector. This concept was first brought to my attention by Fractal Woman YouTube channel, so make sure to check out her work. https://peakd.com/hive-128780/@mes/complex…
Complex Numbers as Vector Rotations #mathematics #complexnumbers #vectors https://youtu.be/JPBlohHHpvE
YouTube
Complex Numbers as Vector Rotations
In this video I illustrate how complex numbers can be interpreted as vector rotations. This follows from my earlier video on equating the Rotation Matrix as a complex number. Rotating a vector by 0° is equivalent to multiplying the vector by the Identity…
MES Links
In this video I rewrite and reinterpret complex numbers as being simply the rotations of a vector. This concept was first brought to my attention by Fractal Woman YouTube channel, so make sure to check out her work. https://peakd.com/hive-128780/@mes/complex…
Euler's Formula as a Rotation Matrix #mathematics #vectors #complexnumbers https://youtu.be/aZkd2HKvCdU
YouTube
Euler's Formula as a Rotation Matrix
In this video I rewrite Euler's Formula to make it in the form of a rotation matrix. This follows from my earlier videos on equating complex numbers as vector rotations. Furthermore, for the case x = π, we get Euler's Identity, which in matrix form is just…