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Algebra of Matrices — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsAlgebra of Matrices2 Marks
Question
Construct a $2 \times 3$ matrix $A = [a_{ij}]$ whose elements $a_{ij}$​​​​​​​ are give by:
$a_{ij} = i.j$
✓

Answer

Here,
$a_{ij} = i.j. 1 \leq i \leq 2$ and $1 ≤ j ≤ 3$
$a_{11} = 1 \times 1 = 1, a_{12} = 1 \times 2 = 2, a_{13} = 1 \times 3 = 3$
$a_{21} = 2 \times 1 = 2, a_{22} = 2 \times 2 = 4$ and $a_{23} = 2 \times 3 = 6$

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