Mathematics, 23.12.2019 21:31 lelliott86
Suppose the 2 × 2 matrix a has eigenvalues λ1 = 4 and λ2 = 3, with eigenvectors v1 and v2, respectively. if u = 5v1 + v2, then a 2u is equal to
(a) 25v1 + v2
(b) 25v1 + 3v2
(c) 80v1 + 9v2
(d) 100v1 + 3v2
(e) 400v1 + 9v2
Answers: 3
matrix has Eigen values 
and \lambda_{2}=3 with Eigen vectors 
respectively.
is the eigen vector, substitute this to A so then
, from this, the above can be written as
and 
is the eigen vector. Then,
, multiply 
in both sides of the equation 
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Suppose the 2 × 2 matrix a has eigenvalues λ1 = 4 and λ2 = 3, with eigenvectors v1 and v2, respectiv...
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