1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Let A be a skew-symmetric matrix of order 3.

What is the value of det(4A4) - det(3A3) + det(2A2) - det(A) + det(-I)  where I is the identity matrix of order 3?

A
-1
B
0
C
1
D
2
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $A=\left[\begin{array}{rrr} 0 & 3 & 4 \\ -3 & 0 & 5 \\ -4 & -5 & 0 \end{array}\right]$, then which one of the following statements is correct?
A
A2 is symmetric matrix with det(A2) = 0. 
B
A2 is symmetric matrix with det(A2) ≠ 0.
C
A2 is skew-symmetric matrix with det(A2) = 0.
D
A2 is skew-symmetric matrix with det(A2) ≠ 0.
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $\left|\begin{array}{ccc} x^2+3 x & x-1 & x+3 \\ x+1 & -2 x & x-4 \\ x-3 & x+4 & 3 x \end{array}\right|$ = ax4 + bx3 + cx2 + dx + e, then what is the value of e?"
A
-1
B
0
C
1
D
2
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If all elements of a third order determinant are equal to 1 or -1, then the value of the determinant is:
A
0 only
B
an even number but not necessarily 0
C
an odd number
D
0, 1 or -1
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