Home › AP EAPCET (Engineering) › Mathematics › Complex Numbers › If a + bi is written as a 2 x 2 matrix, the dete…
If a + bi is written as a 2 x 2 matrix, the determinant equals which quantity?
Aa^2 + b^2
Ba^2 - b^2
Ca^2 + b
Da + b^2
Answer & Solution
Correct answer: A. a^2 + b^2
The matrix has determinant a^2 + b^2, the square of the absolute value of the complex number.
Related questions
The argument of z is measured anticlockwise from which axis?How many distinct fifth roots does the number 1 have in the complex numbers?What is the multiplicative inverse of the imaginary unit i?A real-coefficient polynomial has 2 + 3i as a root. Which must also be a root?What are the roots of x^2 - 2x + 5 = 0?Which of these is a square root of -16 in the complex numbers?Evaluate (1 + i) raised to the fourth power.Find the modulus of (1 + i) raised to the eighth power.