Question
Question: The number of different matrices that can be formed with elements 0, 1, 2, or 3, each matrix having ...
The number of different matrices that can be formed with elements 0, 1, 2, or 3, each matrix having 4 elements, is
A
3 × 24
B
2 × 4 4
C
3 × 44
D
None of these
Answer
3 × 44
Explanation
Solution
The matrix will be of the order 4 × 1 or 1 × 4 or 2 × 2
For each order, the number of different matrices
The number of ways to fill four places by
0, 1, 2, 3 = 4 × 4 × 4 × 4 = 44
Total matrices = 3 × 44