For a 3 × 3 matrix A = [a_ij], whose element a_ij is given by a_ij = \(\rm \sqrt{i^2+3j}\) then what is element a₃₁?

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CUET UG Official Maths Paper (Held on_23 May 23)

Answer 1

Explanation:

A = [aij] is 3 × 3 matrix \(\begin{bmatrix} a_{11} & a_{12} & a_{13}\\ a_{21} & a_{22} & a_{23}\\ a_{31} & a_{32} & a_{33}\\ \end{bmatrix}\)

such that aij = \(\rm \sqrt{i^2+3j}\)

Then a31 = \(\rm \sqrt{3^2+3\times1}=\sqrt{12}=2\sqrt3\)

Option (3) is true.

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