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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 = 2i - j

✓

Answer

Here,
a11 = 2(1) -1 = 1, a12 = 2(1) -2 = 0, a13 = 2(1) -3 = -1
a21 = 2(2) -1 = 3, a22 = 2(2) -2 = 2, a23 = 2(2) -3 = 1
Using equation (i)
$\text{A}=\begin{bmatrix}1 &0&-1\\3&2&1\end{bmatrix}$

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