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Algebra of Matrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsAlgebra of Matrices2 Marks
Question
Construct a 2 × 3 matrix A = [aij] whose elements aij are give by:

aij = i + j

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Answer

Here,
aij = i + j
a11 = 1 + 1 = 2, a12 = 1 + 2 = 3, a13 = 1 + 3 = 4
a21 = 2 + 1 = 3, a22 = 2 + 2 = 4 and a23 = 2 + 3 = 5
Required matrix = $\text{A}=\begin{bmatrix}2&3&4\\3&4&5\end{bmatrix}$

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