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abstract algebra - Prove that 1+1=2 - Mathematics Stack Exchange 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 you think of some way to
Why is $1 i$ equal to $-i$? - Mathematics Stack Exchange While 1 i = i−1 1 i = i 1 is true (pretty much by definition), if we have a value c c such that c∗i = 1 c ∗ i = 1 then c= i−1 c = i 1 This is because we know that inverses in the complex numbers are unique
If $A A^{-1} = I$, does that automatically imply $A^{-1} A = I$? 1 Short Answer Yes AA -1 = A -1 A = I when the Det (A) ≠ ≠ 0 and A is a square matrix Long Answer A matrix is basically a linear transformation applied to some space For the sake of simplicity I will assume that we are in a 2D plane having 2 basis vectors i ^ and j ^ each having the magnitude of 1 with coordinates (1,0) and (0,1
Formula for $1^2+2^2+3^2+. . . +n^2$ - Mathematics Stack Exchange The factor 1 3 attached to the n3 n 3 term is also obvious from this observation You can use induction to show that the lower-order terms can be dealt with using lower order expressions (so assume that the natural numbers and units have already been summed using expressions of degree 2 and 1 respectively)