Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

For a $3×3 $ matrix $A= [a_{ij}],$ whose element $a_{ij}$ is given by $a_{ij}=\sqrt{i^(2)+3j}$ then what is element $a_{31}$ ?

Options:

$\sqrt{6}$

$\sqrt{7}$

$2\sqrt{3}$

$2\sqrt{2}$

Correct Answer:

$2\sqrt{3}$

Explanation:

Given

$a_{ij}=\sqrt{i^{2}+3j}$

To find $a_{31}$

Here $i=3,\; j=1$

$a_{31}=\sqrt{3^{2}+3(1)}$

$=\sqrt{9+3}$

$=\sqrt{12}$

$=2\sqrt{3}$

The element $a_{31}$ is $2\sqrt{3}$.