Question

If 1, 2 and 5 are eigen values of matrix A then determinant of A is equal to​

Answer 1

Answer:

10

Step-by-step explanation:

Det of a matrix is equal to the product of its Eigen values.

So, 1*2*5=10

Answer 2

The determinant of A = 10

Given :

1 , 2 and 5 are eigen values of matrix A

To find :

The determinant of A

Concept :

The product of the eigen values of a matrix is equal to the determinant of the matrix

Solution :

Step 1 of 2 :

Write down the given eigen values

Here it is given that 1, 2 and 5 are eigen values of matrix A

Step 2 of 2 :

Find determinant of A

We know that for a given matrix A the product of the eigen values of the matrix is equal to the determinant of the matrix

Hence determinant of A

= The product of the eigen values of the matrix A

= 1 × 2 × 5

= 10

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