Question

In: Math

Given a 2x2 matrix, A = 1 4 2 -1 Find its eigen values, eigen vectors....

Given a 2x2 matrix, A =

1 4

2 -1

Find its eigen values, eigen vectors. Can matrix be diagnolized?

Solutions

Expert Solution

Solution:   The characteristic equation is

Since the eigenvalues are distinct

   is diagonalisable

for

By

for

By

Since . The matrix   is diagonalised to

by the transforming matrix     

milcah answered 3 years ago
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