Determinant of a 2×2 matrix
Guided practice — solve each problem, check, then generate a fresh one.
Formula to apply
det [[a, b], [c, d]] = ad − bc
Problem
Compute the determinant of the matrix
[ -4 4 ]
[ -4 4 ]
Working
- 1det = a·d − b·c = -4·4 − 4·(-4).
- 2= -16 − (-16) = 0.