# AIEEE,IIT JEE MATHS-ALGEBRA --I Online Test

The cofactor of the element '4' in the determinant  ____.
4
10
– 10
– 4
  this system of equations has ____.
Infinite solution
No solution
Unique solution
None of the above
The value of  if  is ____.
0
1
– 1
None of the above
If  and   then the value of  is ____.
1/3
½
1
2
The set of matrices  forms a group under matrix multiplication as the binary operation. The identity element in it is ____.
Square matrices of the type  form a group under the usual matrix multiplication. The identity of the group is ____.
The set  under matrix multiplication forms ____.
An abelian group
Non-abelian group
Cyclic group
None of the above
If M is a group under multiplication and M denotes set of all  non-singular matrices of the form  where a, b, c, d are real numbers, then the inverse of  is ____.
If I is a unit matrix, then 3I is ____.
A unit matrix
A triangular matrix
A scalar matrix
None of the above
In a skew symmetric matrix, the diagonal elements are all ____.
Different from each other
Zero
One
None of the above
Description:

In this test the questions are mainly from matrices and groups

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