1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Let A = $\left(\begin{array}{ccc}0 & \sin^2 \theta & \cos^2 \theta \\ \cos^2 \theta & 0 & \sin^2 \theta \\ \sin^2 \theta & \cos^2 \theta & 0\end{array}\right)$ and A = P + Q where P is symmetric matrix and Q is skew-symmetric matrix.
What is Q equal to ?
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following in respect of the matrices:
A = [m n], B = [-n -m] & $ C = \begin{bmatrix} m \\ -m\end{bmatrix} $
1. CA = CB
2. AC = BC
3. C(A + B) = CA + CB
Which of the above statements is/are correct?
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
If $A = \begin{bmatrix} 2 \sin \theta & \cos \theta & 0 \\ -2\cos \theta & \sin \theta & 0 \\ -1 & 1 & 1 \end{bmatrix},$ then what is A(adj A) equal to?
(where) I is the identity matrix.
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Let A be a non-singular matrix and B = adj A. Which of the following statements is/are correct?
1. AB = BA
2. AB is a scalar matrix
3. AB can be a null matrix
Select the correct answer using the code given below:
Questions Asked from Matrices (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
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