Engineering Board Exam Reviewer · Determinants · medium
A 3×3 matrix A has A=4. Find ( adj,A).
- 4
- 64
- 12
- 16
Answer
D. 16
Solution
For an n× n matrix, ( adj,A)=( A)n-1. So ( adj,A)=42=16.
More Determinants questions
- A 3×3 matrix A has A=5. Find (2A).
- Evaluate vmatrix2&-1&3\1&4&-2\3&0&1 vmatrix.
- Evaluate vmatrix2&1&3\0&3&4\0&0&5 vmatrix.
- Evaluate the determinant of bmatrix4&3\2&5 bmatrix.
- Evaluate the determinant of bmatrix2&0&1\3&1&2\1&0&3 bmatrix.
- Evaluate the determinant of bmatrix1&2&3\0&1&4\5&6&0 bmatrix.
- If the determinant of a 3×3 matrix A is 8, find the determinant of 2A.
- If (A)=5 and (B)=3, find (AB).
- Evaluate the determinant of the upper triangular matrix bmatrix3&7&2\0&5&1\0&0&4 bmatrix.
- Find the determinant of bmatrix2&4\1&2 bmatrix. What does this indicate about the matrix?