Question

*1 point19. If the eigen values of A are 0,0,6 then the rank of thequadratic form is.Ia) 1b) 2c) 3d) 0CamsA​

Answer 1

try to solve this question

Answer 2

The rank of the quadratic form is (a) 1.

Given: The Eigen values of A are 0,0,6

To Find: The rank of the quadratic form

Solution:

The question can be solved using a simple theorem which states that,

The rank of the quadratic form is equal to the number of non-zero Eigen values of the matrix of the quadratic form.

Eigen values of A = 0,0,6

So using the above theorem we can see that there is only one non-zero Eigen value. So the rank of the quadratic form should be 1.

Hence, the rank of the quadratic form is (a) 1.

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