Test Index

NDA Math Determinants

© examsnet.com

Question : 16 of 68

Marks: +1, -0

How many matrices of different orders are possible with elements comprising all prime numbers less than 30 ?

2
3
4
6

Solution: 👈: Video Solution

Concept:

Prime Numbers

=

a number that is divisible only by itself and

1(

e.g.

2,3,5,7,11)

Calculation:

All prime numbers less than

30=2,3,5,7,11,13,17,19,23,29

A = \begin{bmatrix} 2 & 3 \\ 5 & 7 \end{bmatrix}_{2 \times 2}

B = \begin{bmatrix} 11 & 13 \\ 17 & 19 \\ 23 & 29 \end{bmatrix}_{3 \times 2}

C = \begin{bmatrix} 2 & 3 & 5 \\ 7 & 11 & 13 \\ 17 & 19 & 23 \end{bmatrix}_{3 \times 3}

D = \begin{bmatrix} 23 \end{bmatrix}_{1 \times 1} ].

Hence Option 1 is correct.

© examsnet.com

Go to Question:

Prev Question

Next Question