Question 14 (Textile Technology & Fibre Science)
The determinant of a 3 × 3 matrix 𝐴 is 30. If 2 and 3 are two Eigenvalues of 𝐴, then the third Eigenvalue of 𝐴 (in integer) is _.
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Given in the question-
Determinant of matrix A (3×3)=30
Let third eigen value of A=A3
Eigen values of A are=2,3, A3
=30
2 x 3 x A3=30
6 x A3=30
A3=5 (Ans)