Question

What is the determinant of D = [-4 3; -7 6]?
a) -24
b) -3
c) 3
d) 45

Answer 1

The determinant of the matrix D = [-4 3; -7 6] is calculated as (-4*6) - (3*-7), which results in -3.

Step-by-step explanation:

The determinant of a 2x2 matrix D = [a b; c d] is calculated using the formula ad - bc. For the matrix D = [-4 3; -7 6], the determinant is calculated as follows:

• (-4) * 6 - (3) * (-7)
• = -24 + 21
• = -3

Therefore, the determinant of D = [-4 3; -7 6] is -3.