To solve for Eigen Values and corresponding Eigen Vectors for the matrix A, we need to follow these steps:
Step 1: The eigenvalues of matrix A are values of λ that satisfy the equation.
Let’s calculate (A — λ I),
Now, computing the determinant of (A — λ I),
Finally, we can compute eigen values by using the formula from Fig 2 above,
Step 2: The corresponding eigen vectors V[a, b, c] are calculated using each eigen values (i.e. -1, -4 and -3).
for λ = -1, the corresponding eigen vector can be calculated as:
for λ = -4, the corresponding eigen vector can be calculated as:
for λ = -3, the corresponding eigen vector can be calculated as:
The required eigen values(λ) and eigen vectors(v) are as follows:
