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What is the multiplicative inverse of 3-i?

The multiplicative inverse of a complex number is found by taking the complex conjugate of the number and dividing by the square of its magnitude. For the complex number 3-i, the complex conjugate is 3+i. The magnitude of 3-i is sqrt(3^2 + (-1)^2) = sqrt(9 + 1) = sqrt(10). Therefore, the multiplicative inverse of 3-i is (3+i) / 10.


What is a fraction tht has a numerator and a denominator or both?

Complex fraction Complex fraction - A complex fraction is a fraction where the numerator and/or denominator are a fraction. Decimal - A decimal is a number based on the number 10. It can be thought of as a special type of fraction where the denominator is a power of 10. Decimal point - A period or dot that is part of a decimal number.


Is the square root of 100 an integer?

No it is a complex number the number 10i, which has an integer part (10) and an imaginary part (i), where i=square root of -1


Solve 7-24i complex number?

31


Adjoint operator of a complex number?

Adjoint operator of a complex number?


What is another name for absolute value of a complex number?

The absolute value of a complex number is the magnitude of the number, which is found from sqrt(a² + b²) for the complex number a + bi


Can a complex number be a pure imaginary number?

Yes. And since Real numbers are a subset of complex numbers, a complex number can also be a pure real.Another AnswerYes, for example: (0 + j5) is a complex number, whose 'real' number is zero.


What do you get if you raise a real number to a complex number?

You get a complex number unless the real number happens to be 0 or 1.


Are imaginary and complex numbers the same?

No. A complex number is a number that has both a real part and an imaginary part. Technically, a pure imaginary number ... which has no real part ... is not a complex number.


What is the graphical relationship between a conjugate number and a complex number?

Graphically, the conjugate of a complex number is its reflection on the real axis.


Is 3i an irrational number?

No. It is an imaginary (or complex) number.


What is the usefulness of the conjugate and its effect on other complex numbers?

The conjugate of a complex number is the same number (but the imaginary part has opposite sign). e.g.: A=[5i - 2] --> A*=[-5i - 2] Graphically, as you change the sign, you also change the direction of that vector. The conjugate it's used to solve operations with complex numbers. When a complex number is multiplied by its conjugate, the product is a real number. e.g.: 5/(2-i) --> then you multiply and divide by the complex conjugate (2+i) and get the following: 5(2+i)/(2-i)(2+i)=(10+5i)/5=2+i