class 12 maths matrices

Construct a 3 x 4 matrix, whose elements are given by :

• ${a_{ij}} = \cfrac{1}{2}| - 3i + j|$

• ${a_{ij}} = 2i - j$

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📘 Matrices NCERT,Ex.3.1,Q.No.5,Page.64 SA

Construct a 3 x 4 matrix, whose elements are given by :

• ${a_{ij}} = \cfrac{1}{2}| - 3i + j|$

• ${a_{ij}} = 2i - j$

Official Solution

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.:

A 3 × 4 matrix has 3 rows and 4 columns. In general, 3 × 4 matrix is given by
$A = {[{a_{ij}}]_{3 \times 4}} = \left[ {\begin{array}{cccccccccccccccccccc}{{a_{11}}}&{{a_{12}}}&{{a_{13}}}&{{a_{14}}}\\{{a_{21}}}&{{a_{22}}}&{{a_{23}}}&{{a_{24}}}\\{{a_{31}}}&{{a_{32}}}&{{a_{33}}}&{{a_{34}}}\end{array}} \right]$

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