Find the eigenvalues and corresponding eigenvectors of the matrix (Note that 0 is an eigenvalue of A.) Hence find an invertible matrix which diagonalizes A. A 3 times 3 matrix B has trace equal to 4 and determinant equal to -8. Given that 2 is an eigenvalue of B, find the other two eigenvalues of B.
Show transcribed image textFind the eigenvalues and corresponding eigenvectors of the matrix (Note that 0 is an eigenvalue of A.) Hence find an invertible matrix which diagonalizes A. A 3 times 3 matrix B has trace equal to 4 and determinant equal to -8. Given that 2 is an eigenvalue of B, find the other two eigenvalues of B.
