he multiplicative inverse of complex number (0, -1) is equal to:A.(1, 0)B.(0, 1)C.(-1, 0)D.(0, 0)
Question
The multiplicative inverse of complex number (0, -1) is equal to:
A. (1, 0)
B. (0, 1)
C. (-1, 0)
D. (0, 0)
Solution
To find the multiplicative inverse of a complex number (0, -1), we need to find another complex number that, when multiplied by (0, -1), gives us the result of (1, 0).
Let's assume the multiplicative inverse is (a, b). We can write the equation as:
(0, -1) * (a, b) = (1, 0)
To solve this equation, we can use the distributive property of complex numbers:
(0 * a - (-1) * b, 0 * b + (-1) * a) = (1, 0)
Simplifying further, we get:
(b, -a) = (1, 0)
From this equation, we can see that b = 1 and -a = 0. Solving for a, we find that a = 0.
Therefore, the multiplicative inverse of (0, -1) is (0, 1).
So, the correct answer is B. (0, 1).
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