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
If A and B are square matrices of equal degree, then which one is correct among the following?
A +B =B+A
A+B =A+B
A-B =B-A
AB =BA
The parameter, on which the value of the determinant
does not depend upon is
a
p
d
x
If the system of equations
x-ky-z =0, kx-y-z =0, x+y-z =0 has a non-zero solution, then the possible values of k are
-1,2
1,2
0,1
-1,1
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
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