Question

The eigenvalues of a 4x4 matrix [a] are given as 2,-3,13, and 7. Then the det(a) is

Answer 1

Answer:

- 1326

Step-by-step explanation:

By using general properties of eigen values: The product of eigen values of a matrix is equal to the value of determinant of matrix.

Given eigen values: 2, -3, 13 and 7

Determinant = (2) x (- 3) x (13) x (17)

                     = - 1326

Answer 2

The determinant of given matrix is -546.

Step-by-step explanation:

We are given the following in the question:

Eigen values of a matrix are:

2, -3, 13 and 7

We have to find the determinant of the matrix.

The determinant of matrix is the product of all the eigen values of matrix.

Thus, determinant is given by

$det(A) = 2\times -3\times 13\times 7 = -546$

Thus, the determinant of given matrix is -546.

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