Construct a 3 × 2 matrix whose elements are given by .

Engineering

Mathematics

Introduction to Matrix

Modulus Function

Question

Construct a 3 × 2 matrix whose elements are given by $a_{1} = \frac{1}{2} ∣ i - 3 j ∣$ .

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

a_{11} = \frac{1}{2} ∣ - 2 ∣ = 1; a_{12} = \frac{1}{2} ∣ 1 - 6 ∣ = \frac{5}{2}

a_{21} = \frac{1}{2} ∣ 2 - 3 ∣ = \frac{1}{2}; a_{22} = \frac{1}{2} ∣ 2 - 6 ∣ = 2

a_{31} = \frac{1}{2} ∣ 3 - 3 ∣ = 0; a_{32} = \frac{1}{2} ∣ 3 - 6 ∣ = \frac{3}{2}

\Rightarrow M = [\begin{array}{cc} 1 & 5 / 2 \\ 1 / 2 & 2 \\ 0 & 3 / 2 \end{array}]