Prove that machine precision as bound for relative round off

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Reference no: EM1369014

Prove that machine precision (epsilon) computed by mathlab's eps function can be used as a bound for relative round off. In other words, prove that

Epsilon = { b^(1-t) - chopping
(1/2)*b^(1-t) - rounding
where b is the computer's floating point number system and t is the mantissa length.

Reference no: EM1369014

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