Problem
(T/F) An $n \times n$ determinant is defined by determinants of $(n-1) \times(n-1)$ submatrices. (A) True (B) False
Solution
Step 1 ：Calculate the determinant of a 3x3 matrix using the Laplace expansion: \(\det(A) = a_{11}C_{11} - a_{12}C_{12} + a_{13}C_{13}\)
Step 2 ：Since the Laplace expansion involves calculating determinants of (n-1) x (n-1) submatrices, the statement is true. \(\boxed{\text{(A) True}}\)
