In grade 10 math , complex conjugates are a pair of complex numbers, both having the same real part, but with imaginary parts of opposite signs. For example, 3 + 4i and 3 - 4i are complex conjugates.
The conjugate of the complex number z
notation avoids confusion with the notation for the conjugate transpose of a matrix, which can be thought of as a generalization of complex conjugation. If a complex number is represented as a 2×2 matrix, the notations are identical.We also can use scientific notation converter to find the number.
Let's an example problem from numeric and algebraic operations
Question:-
How do you use complex conjugates to find (3+7i)/(2-i) ?
Answer:-
In the Given problem the denominator is (2-i)
So ,it's conjugate is (2+i)
Multiplying both numerator and denominator with (2+i)
= (3+7i)(2+i)/(2-i)(2+i)
= (5+17i)/(4-i2)
We know that i2 = -1
= (5+17i)/4+1
= (5+17i)/5 Answer
The conjugate of the complex number z
notation avoids confusion with the notation for the conjugate transpose of a matrix, which can be thought of as a generalization of complex conjugation. If a complex number is represented as a 2×2 matrix, the notations are identical.We also can use scientific notation converter to find the number.Let's an example problem from numeric and algebraic operations
Question:-
How do you use complex conjugates to find (3+7i)/(2-i) ?
Answer:-
In the Given problem the denominator is (2-i)
So ,it's conjugate is (2+i)
Multiplying both numerator and denominator with (2+i)
= (3+7i)(2+i)/(2-i)(2+i)
= (5+17i)/(4-i2)
We know that i2 = -1
= (5+17i)/4+1
= (5+17i)/5 Answer
