Question 873 – Engineering-Mathematics
December 6, 2023Question 1094 – Engineering-Mathematics
December 6, 2023Question 976 – Engineering-Mathematics
Two eigenvalues of a 3X3 real matrix P are (2+ √ -1) and 3. The determinant of P is___
Correct Answer: C
Question 656 Explanation:
If an eigenvalue of a matrix is a complex number, then there will be other eigenvalue, which is conjugate of the complex eigenvalue.
So, For the given 3×3 matrix there would be 3 eigenvalues.
Given eigenvalues are : 2+i and 3.
So the third eigenvalue should be 2-i.
As per the theorems, the determinant of the matrix is the product of the eigenvalues. So the determinant is (2+i)*(2-i)*3 = 15.
So, For the given 3×3 matrix there would be 3 eigenvalues.
Given eigenvalues are : 2+i and 3.
So the third eigenvalue should be 2-i.
As per the theorems, the determinant of the matrix is the product of the eigenvalues. So the determinant is (2+i)*(2-i)*3 = 15.
0
1
15
-1
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