(a)
(b)
Given matrix A:
(i)
(ii)
(iii)
TO
A = 1
O
-31
1
1
L2 0 5
Show with working that the eigenvalues of matrix A are 1, 2 and 3.
Compute the eigenvectors of the corresponding eigenvalues.
Hence obtain the eigendecomposition of A.
Prove that a 2x2 symmetric matrix B=
diagonalizable.
(6 marks)
(9 marks)
(8 marks)
with a, b, c ER is always
(7 marks)
Fig: 1