Airforce X Y / Indian Navy SSR Exam > Airforce X Y / Indian Navy SSR Videos > Mathematics for Airmen Group X > Multiplicative Inverse of a Complex Number
Multiplicative Inverse of a Complex Number Video Lecture | Mathematics for Airmen Group X - Airforce X Y / Indian Navy SSR
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FAQs on Multiplicative Inverse of a Complex Number Video Lecture - Mathematics for Airmen Group X - Airforce X Y / Indian Navy SSR
| 1. What is the concept of multiplicative inverse in complex numbers? |  |
Ans. The multiplicative inverse of a complex number is a number that, when multiplied by the original complex number, gives the result as 1. In other words, if z is a complex number, the multiplicative inverse of z is denoted as 1/z, and it satisfies the equation z * (1/z) = 1.
| 2. How do you find the multiplicative inverse of a complex number? | |
Ans. To find the multiplicative inverse of a complex number, we can follow these steps:
1. Write the complex number in the form a + bi, where a and b are real numbers.
2. Calculate the conjugate of the complex number by changing the sign of the imaginary part. For example, if the complex number is a + bi, the conjugate is a - bi.
3. Multiply the complex number by its conjugate.
4. Simplify the resulting expression.
5. The final result is the multiplicative inverse of the complex number.
| 3. Why is the concept of multiplicative inverse important in complex numbers? | |
Ans. The concept of multiplicative inverse is important in complex numbers because it allows us to divide complex numbers. Division is not directly defined for complex numbers, but by using the concept of the multiplicative inverse, we can perform division operations. It helps in solving equations involving complex numbers and performing mathematical operations efficiently.
| 4. Can every complex number have a multiplicative inverse? | |
Ans. No, not every complex number has a multiplicative inverse. A complex number only has a multiplicative inverse if it is non-zero, i.e., it is not equal to 0. If a complex number is equal to 0, then its multiplicative inverse does not exist. Only non-zero complex numbers can have a multiplicative inverse.
| 5. How does the concept of multiplicative inverse relate to the Indian Navy SSR exam? | |
Ans. The concept of multiplicative inverse is not directly related to the Indian Navy SSR exam. The Indian Navy SSR exam focuses on subjects such as mathematics, science, and general knowledge. While knowledge of complex numbers and their properties may be helpful in understanding certain mathematical concepts, the specific concept of multiplicative inverse of complex numbers may not be directly tested in the exam.
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Nov 24, 2024 Last updated |
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