Description
Exercises on determinant formulas and cofactors
Problem 19.1: Compute the determinant of:
A ⎥⎥ .
0 1 0 0
Which method of computing the determinant do you prefer for this problem, and why?
Problem 19.2: (5.2 #33. Introduction to Linear Algebra: Strang) The symmetric Pascal matrices have determinant 1. If I subtract 1 from the n, n entry, why does the determinant become zero? (Use rule 3 or cofactors.)
⎡ 1 1 1 1 ⎤
1 2 3 4
(known) ⎥= 0 (to explain).
