1.1111
Using the extended Euclidean algorithm, find the multiplicative inverse of a) 1234 mod 4321
The multiplicative inverse of a complex number is found by taking the reciprocal of the number. In this case, the reciprocal of 4i is -1/4i. To find the reciprocal, you divide 1 by the complex number, which results in -1/4i. This is the multiplicative inverse of 4i.
7
Find the additive inverse (opposite) of: 18/23
1.1111
Divide 1 by the number. The multiplicative inverse of 7 is 1/7, for example.
Swap the numerator and denominator. For example, the multiplicative inverse of 5/7 is 7/5
Using the extended Euclidean algorithm, find the multiplicative inverse of a) 1234 mod 4321
The multiplicative inverse of a number is its reciprocal, meaning the multiplicative inverse of the rational number a/b is b/a. In the specialized case for integers, the multiplicative inverse of n is 1/n. This is due to the fact that a/b * b/a = 1 and n * 1/n = 1, which is the definition of a multiplicative inverse. More succinctly, to find the multiplicative inverse you "flip" the fraction or integer around to its reciprocal. This is the number that when multiplied with the original number results in a product of 1.
The same number....
The answer depends on what you mean by "opposite": whether it is the additive inverse or the multiplicative inverse.
The answer depends on what you mean by "opposite": whether it is the additive inverse or the multiplicative inverse.
The multiplicative inverse of a complex number is the reciprocal of that number. To find the multiplicative inverse of 4 + i, we first need to find the conjugate of 4 + i, which is 4 - i. The product of a complex number and its conjugate is always a real number. Therefore, the multiplicative inverse of 4 + i is (4 - i) / ((4 + i)(4 - i)) = (4 - i) / (16 + 1) = (4 - i) / 17.
7
9/5
find the inverse of (1,-5)(3,-3)(4,-2)