Engineering Board Exam Reviewer · Determinants · medium
If the determinant of a 3×3 matrix A is 8, find the determinant of 2A.
- 64
- 16
- 24
- 8
Answer
A. 64
Solution
For an n× n matrix, (kA)=kn (A). Here n=3: (2A)=23(8)=64.
More Determinants questions
- 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?
- Evaluate the determinant of bmatrix0&1&2\1&0&3\2&3&0 bmatrix.
- 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.