XII_Maths_Matrices and Determinants_3 Online Test

this system of equations has ____.
Infinite solution
No solution
Unique solution
None of the above
In a skew symmetric matrix, the diagonal elements are all ____.
Different from each other
Zero
One
None of the above
If I is a unit matrix, then 3I is ____.
A unit matrix
A triangular matrix
A scalar matrix
None of the above
The system of equations

and
has ____.
No solution
Exactly one solution
Infinite solutions
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




Both A and R are true and R is correct explanation of A
Both A and R are true and R is not correct explanation of A
A is true, R is false
A is false, R is true
Given 2x –y +2z =2, x –2y +z =-4, x+ y +(z =4 then the value of ( such that the given system of equation has NO solution, is
3
1
0
-3
Consider the set A of all determinants of order 3 with entries 0 or 1 only. Let B be the subset of A consisting of all determinants with value 1. Let C be the subset of A consisting of all determinants with value –1. Then
C is empty
B has as many elements as C
A = B ( C
B has twice as many elements as elements as C