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Algebra of Matrices — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsAlgebra of Matrices2 Marks
Question
Construct a $2 × 3$ matrix $A = [a_{ij}]$ whose elements $a_{ij}$ are give by:$a_{ij} = 2i - j$
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Answer

Here,
$a_{11} = 2(1) -1 = 1, a_{12} = 2(1) -2 = 0, a_{13} = 2(1) -3 = -1$
$a_{21} = 2(2) -1 = 3, a_{22} = 2(2) -2 = 2, a_{23} = 2(2) -3 = 1$
Using equation (i)
$\text{A}=\begin{bmatrix}1 &0&-1\\3&2&1\end{bmatrix}$

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