Question

If A is a singular matrix of order 3 and 2& 3 are two eigenvalues, find its third

eigenvalue​

Answer 1

SOLUTION

GIVEN

A is a singular matrix of order 3 and 2 & 3 are two eigenvalues

TO DETERMINE

The third eigenvalue

EVALUATION

Here it is given that

A is a singular matrix

We know that The determinant is the product of the eigenvalues.

Since A is a singular matrix

So det A = 0

Since two given eigen values are 2 & 3

So two given eigenvalues are non zero

Hence third eigenvalue must be zero

FINAL ANSWER

The third eigenvalue = 0

━━━━━━━━━━━━━━━━

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Answer 2

Answer:

SOLUTION

GIVEN

A is a singular matrix of order 3 and 2 & 3 are two eigenvalues

TO DETERMINE

The third eigenvalue

EVALUATION

Here it is given that

A is a singular matrix

We know that The determinant is the product of the eigenvalues.

Since A is a singular matrix

So det A = 0

Since two given eigen values are 2 & 3

So two given eigenvalues are non zero

Hence third eigenvalue must be zero

FINAL ANSWER

The third eigenvalue = 0

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1.1. The eigen values of the matrix A are 2,3,5. Then the eigen values of adj A are

https://brainly.in/question/31051731

2. Define trace of the matrix, find the trace of

https://brainly.in/question/25607925