Question

If the sum of two Eigen values and trace of non-zero matrix A(3*3) are equal then A is​

Answer 1

SOLUTION

GIVEN

The sum of two Eigen values and trace of non-zero matrix A(3×3) are equal

TO DETERMINE

The determinant value of A

EVALUATION

Here A is a 3 × 3 non-zero matrix

Now it is given that the sum of two Eigen values and trace of A are equal

We know that the trace of the matrix is the sum of the eigen values

Since the sum of two Eigen values and trace of A are equal

So the third eigen value = 0

So the determinant value of A

= The product of the eigen values

= 0

FINAL ANSWER

The determinant value of A = 0

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