Question

If the eigen values of a matrix A are 2,3,7 then the determinant of the matrix A is​

Answer 1

Answer:

Step-by-step explanation:

Concept:

Determinant of a matrix is the product of its eigenvalues.

Determinant of a matrix is same as its transpose.

Determinant of a matrix is reciprocal to its inverse.

Calculation:

Eigenvalues of matrix A are 1, 2 and 4.

Determinant of matrix A = 1 × 2 × 4 = 8

Determinant of inverse of A = det (A-1) = 1/det(A)=1/8=0.125