Question

11: If the eigen values are -1,-1,4 then the signature is
0-1
0
6​

Answer 1

Answer:

0

Step-by-step explanation:

GIVEN- the eigen values are -1 , -1 , 4

FIND- signature

solution- the eigen values are -1 ,-1 , 4 then the signature is 0.

eigen values are the special set of scalar value that is associated with the set of linear equations most probably in the matrix equations.

the eigen factors are also termed as characteristics roots it is a non zero vector that can be changed at most by its scalar factor after the applications of linear transformation.

FINAL ANSWER- 0

#SPJ3

Answer 2

If the eigen values are - 1 , - 1 , 4 then the signature is - 1

Given :

The eigen values are - 1 , - 1 , 4

To find :

The signature is

• - 1

• 0

• 6

Solution :

Step 1 of 2 :

Define signature

For a matrix A signature of the quadratic form is the difference between the number of positive and negative eigen values of A

Step 2 of 2 :

Find signature

Here the given eigen values are - 1 , - 1 , 4

Number of positive eigen values = 1

Number of negative eigen values = 2

The signature = 1 - 2= - 1

Hence the correct option is - 1

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