1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Let A and B be symmetric matrices of same order, then which one of the following is correct regarding (AB - BA) ?
1. Its diagonal entries are equal but nonzero
2. The sum of its non-diagonal entries is zero
Select the correct answer using the code given below :
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements in respect of square matrices A, B, C each of same order n :
1. AB = AC ⇒ B = C if A is non-singular
2. If BX = CX for every column matrix X having n rows then B = C
Which of the statements given above is/are correct ?
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
The system of linear equations
x + 2y + z = 4, 2x + 4y + 2z = 8 and 3x + 6y + 3z = 10 has
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Let AX = B be a system of 3 linear equations with 3-unknowns. Let X1 and X2 be its two distinct solutions. If the combination aX1 + bX2 is a solution of AX = B; where a, b are real numbers, then which one of the following is correct ?
Questions Asked from Matrices (Marks 2.5)
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