Question

What is the determinant of the matrix

[−58 −7
4 58]?

A) 3306
B) 3300
C) 3305
D) 3301

Answer 1

The determinant of the given matrix is -3336.

Step-by-step explanation:

The determinant of a 2x2 matrix [a b; c d] can be calculated as ad - bc.

In the given matrix, the elements are -58, -7, 4, and 58. So, the determinant is (-58 * 58) - (-7 * 4), which simplifies to -3364 - (-28). This gives us a determinant of -3336.