Question:
Let π be a 3Γ3 matrix having the eigenvalues 1,1 and 2. Let (1,β1,2) π be the only linearly independent eigenvector corresponding to the eigenvalue 1. If the adjoint of the matrix 2π is denoted by π, then which of the following statements is/are TRUE?
Let π be a 3Γ3 matrix having the eigenvalues 1,1 and 2. Let (1,β1,2) π be the only linearly independent eigenvector corresponding to the eigenvalue 1. If the adjoint of the matrix 2π is denoted by π, then which of the following statements is/are TRUE?
Updated On: Nov 4, 2024
- trace(π)=20
- det(π)=64
- (2, β2, 4)π is an eigenvector of the matrix Q
- π 3=20π 2β124π+256πΌ3
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The Correct Option is A, C
Solution and Explanation
The correct options are: A and C
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