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Algebra of Matrices — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsAlgebra of Matrices1 Mark
Question
Construct a $4 \times 3$ matrix whose element are:
$a_{ij} = i$
✓

Answer

Here,
$a_{11} = 1, a_{12} = 1, a_{13}= 2,$
$a_{21} = 2, a22 = 2, a_{23} = 2$
$a_{31} = 3, a_{32} = 3, a_{33} = 3$
$a_{41} = 4, a_{42} = 4, a_{43} = 4$
Using Equation (i),
$\text{A}=\begin{bmatrix}1&1&1\\2&2&2\\3&3&3\\4&4&4\end{bmatrix}$

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