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# Eigen Value of a matrix | IIT JAM 2017 | Problem 58 Try this problem from IIT JAM 2017 exam (Problem 58) and know how to evaluate Eigen value of a Matrix.

## Eigen value of a Matrix | IIT JAM 2017 | Problem 58

Let be the eigenvalues of the matrix Then find the value of ### Key Concepts

Linear Algebra

Matrix

Eigen Values

Answer: IIT JAM 2017 , Problem 58

## Try with Hints

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]

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Try this problem from IIT JAM 2017 exam (Problem 58) and know how to evaluate Eigen value of a Matrix.

## Eigen value of a Matrix | IIT JAM 2017 | Problem 58

Let be the eigenvalues of the matrix Then find the value of ### Key Concepts

Linear Algebra

Matrix

Eigen Values

Answer: IIT JAM 2017 , Problem 58

## Try with Hints

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]

## Subscribe to Cheenta at Youtube

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