Question

How do I find the determinant of of a 4×4 matrix?

Answer 1

detA=∣∣∣∣∣∣50−50−73−8520002−43−6∣∣∣∣∣∣=5∣∣∣∣3−85000−43−6∣∣∣∣−(−7)∣∣∣∣0−50000−43−6∣∣∣∣+2∣∣∣∣0−503−85−43−6∣∣∣∣−2∣∣∣∣0−503−85000∣∣∣∣.

detA=|5−722030−4−5−803050−6|=5|30−4−80350−6|−(−7)|00−4−50300−6|+2|03−4−5−8305−6|−2|030−5−80050|.