Question

If A=(
1 0 0
2 3 4
5 -6 x) and det A=45 then find x.​

Answer 1

Step-by-step explanation:

-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 = -546det(A)=2×−3×13×7=−546

Thus, the determinant of given matrix is -546.