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  1. (I+AB)=det\:\!(I+BA)\, $ by cancelling $\rm\,det\,A\, $ from $\rm\,det\,$ of $\rm\ (1+AB)A = A(1+B A)$. Beware that this slick proof is often wrongly deemed incorrect even by some professors - see the discussion there.

  2. 23 Οκτ 2015 · I need to find the flaw in the following proof: $a,b\in\mathbb{R}$\ $\left\{ 0 \right\} $ such that $a=b$ 1) Multiplying both sides by $a$ yields the equality: $a^2=ab$ 2) Subtracting $b^2$ from...

  3. 29 Ιουλ 2010 · The equality $nx = x^2$ is not comparable to an equality like $\sin x^2 = 1 - \cos x^2$ : the equation $nx = x^2$ holds for only two values of $x$, where as the trigonometric equation holds for any real/complex value of $x$.

  4. Usually, if a proof proves a statement that is clearly false, the proof has probably divided by zero in some way. In this case, the quantity of is as , since one cannot divide by zero, the proof is incorrect from that point on. Thus, this proof is false.

  5. 1=2: A Proof using Beginning Algebra. The Fallacious Proof: Step 1: Let a = b . Step 2: Then , Step 3: , Step 4: , Step 5: , Step 6: and . Step 7: This can be written as , Step 8: and cancelling the from both sides gives 1=2. See if you can figure out in which step the fallacy lies.

  6. 28 Μαΐ 2018 · 1 + 1 = 2 cannot be disproved because it is true by definition. The set of integers is defined by the quantities 0,1 and the rule that for any value n in the set of integers, the next value will be n + 1 (or conversely, the previous value will be n - 1).

  7. 7 Μαΐ 2016 · I have the proof that 2=1. Was 1 equals 2 correct, or it is a mathematical logical fallacies?I realised John Hush did the same proof way earlier:https://www....

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