Complex numbers are not vectors.
It could be presented as vector (or as matrix).
Complex numbers are just a way to have a powerful tool for polynomials algebra.
Really, when we talk about "i", we talk about polynomial "x^2+1=0".
And when we use polynomials, we usually use complex numbers, and interpret 'em like frequency (in transfer function) or angular (polar system) or something else.
Yes, you're right. It's just simple and useful to present our complex number like a vector. You can easily understand how to work with it this way. But they were ctreated to expand defenition of number.
Приятно видеть русскоговорящих, особенно знакомых с математическим юмором)
Complex numbers are not vectors.
It could be presented as vector (or as matrix).
Complex numbers are just a way to have a powerful tool for polynomials algebra.
Really, when we talk about "i", we talk about polynomial "x^2+1=0".
And when we use polynomials, we usually use complex numbers, and interpret 'em like frequency (in transfer function) or angular (polar system) or something else.
Yes, you're right. It's just simple and useful to present our complex number like a vector. You can easily understand how to work with it this way. But they were ctreated to expand defenition of number.