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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,
$a_{ij} = i + j$
$a_{11} = 1 + 1 = 2, a_{12} = 1 + 2 = 3, a_{13} = 1 + 3 = 4$
$a_{21} = 2 + 1 = 3, a_{22} = 2 + 2 = 4$ and $a_{23} = 2 + 3 = 5$
Required matrix = $\text{A}=\begin{bmatrix}2&3&4\\3&4&5\end{bmatrix}$

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