Q41 / 90 · JEE Main 2010 · Mathematics

The number of $3 \times 3$ non-singular matrices, with four entries as 1 and all other entries as 0 , is

A
5
B
6
Correct answer
C
at least 7
D
less than 4

Solution

First row with exactly one zero; total number of cases $=6$ First row 2 zeros we get more cases Total we get more than 7 .

Hence, the correct answer is option: 'C'.

Relevant Questions

Let be a matrix such that , and . If , then equals :05 Apr, 2026 (E)Formation and Basic of Matrix
The number of singular matrices of order 2 , whose elements are from the set is07 Apr, 2025 (M)Formation and Basic of Matrix
Let and . If is the matrix of cofactors of the elements of , then is equal to :05 Apr, 2024 (E)Formation and Basic of Matrix
Let be a matrix of non-negative real elements such that . Then the maximum value of is ______04 Apr, 2024 (M)Formation and Basic of Matrix
Let be a symmetric matrix such that and the determinant of be 1 . If , where is an identity matrix of order , then equals _______04 Apr, 2024 (E)Formation and Basic of Matrix
The number of symmetric matrices of order 3, with all the entries from the set { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 } is13 Apr, 2023 (M)Formation and Basic of Matrix