Try this problem from IIT JAM 2017 exam (Problem 58) and know how to evaluate Eigen value of a Matrix.
Let be the eigenvalues of the matrix
Linear Algebra
Matrix
Eigen Values
Answer:
IIT JAM 2017 , Problem 58
Characteristic Equation of a matrix of order
is defined by
, where
is scalar and
is the identity matrix of order
.
The roots of the characteristic equation are called the Eigen Values of that matrix.
Now it is easy. Give it a try.
Let
Then its characteristic equation is for some scalar
and
the identity matrix of order
i.e.,
Then the eigen values are :
Then, [ANS]
Try this problem from IIT JAM 2017 exam (Problem 58) and know how to evaluate Eigen value of a Matrix.
Let be the eigenvalues of the matrix
Linear Algebra
Matrix
Eigen Values
Answer:
IIT JAM 2017 , Problem 58
Characteristic Equation of a matrix of order
is defined by
, where
is scalar and
is the identity matrix of order
.
The roots of the characteristic equation are called the Eigen Values of that matrix.
Now it is easy. Give it a try.
Let
Then its characteristic equation is for some scalar
and
the identity matrix of order
i.e.,
Then the eigen values are :
Then, [ANS]