Why is $1/i$ equal to $-i$?
There are multiple ways of writing out a given complex number, or a number in general. Usually we reduce things to the "simplest" terms for display -- saying $0$ is a lot …
abstract algebra
Possible Duplicate: How do I convince someone that $1+1=2$ may not necessarily be true? I once read that some mathematicians provided a very length proof of $1+1=2$. Can …
Formal proof for $ (-1) \times (-1) = 1$
Is there a formal proof for $(-1) \\times (-1) = 1$? It's a fundamental formula not only in arithmetic but also in the whole of math. Is there a proof for it or is it just assumed?
factorial
Intending on marking as accepted, because I'm no mathematician and this response makes sense to a commoner. However, I'm still curious why there is 1 way to permute 0 things, …
If $A A^{-1} = I$, does that automatically imply $A^{-1} A = I$?
A -1 A means that first we apply A transformation then we apply A -1 transformation. When we apply A transformation we reach some plane having some different …
What does $QAQ^ {-1}$ actually mean?
I'm self-learning Linear Algebra and have been trying to take a geometric approach to understand what matrices mean visually. I've noticed this matrix product pop up repeatedly …
Series expansion: $\frac {1} { (1-x)^n}$
What is the expansion for $(1-x)^{-n}$? Could find only the expansion upto the power of $-3$. Is there some general formula?
Why is $1/i$ equal to $-i$?
There are multiple ways of writing out a given complex number, or a number in general. Usually we reduce things to the "simplest" terms for display -- saying $0$ is a lot …
Series expansion: $\frac {1} { (1-x)^n}$
What is the expansion for $(1-x)^{-n}$? Could find only the expansion upto the power of $-3$. Is there some general formula?
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Why is $1/i$ equal to $-i$?
There are multiple ways of writing out a given complex number, or a number in general. Usually we reduce things to the "simplest" terms for display -- saying $0$ is a lot …
Series expansion: $\frac {1} { (1-x)^n}$
What is the expansion for $(1-x)^{-n}$? Could find only the expansion upto the power of $-3$. Is there some general formula?