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Is this input-output relation correct? Schmitt trigger

OK, operational amplifier will want to keep node A at GND level. It will try to set its output so that the condition (inverting input potential = non-inverting input potential) is satisfied all the time.

So, why isn’t a 5V of input mapping to -10 V which will hold node A at 0 V, but rather it is shown that +5V of input will result in +/- 12 V of output?

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