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Construct a 2 × 2 Matrix Whose Elements Aij Are Given By: `A_(Ij)=[[2_I - 3_I]]/2` - Mathematics

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प्रश्न

Construct a 2 × 2 matrix whose elements aij are given by:

`a_(ij)=|2_i - 3_i|/2`

योग
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उत्तर

`a_(ij)=[[2_i - 3_i]]/2`

Here,

`a_11=|2(1)-3(1)|/2=|2-3|/2=[|-1|]/2=1/2 , a_12 = |2(1)-3(2)|/2=[|2-6|]/2=[|-4|]/2=2`

`a_21=|2(2)-3(1)|/2=|4-3|/2=1/2  , a_22= |2(2)-3(2)|/2=|4-6|/2=|-2|/2=1`

so, the required matrix is `[[1/2   2 ], [1/2   1]]`

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अध्याय 5: Algebra of Matrices - Exercise 5.1 [पृष्ठ ७]

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आरडी शर्मा Mathematics [English] Class 12
अध्याय 5 Algebra of Matrices
Exercise 5.1 | Q 5.5 | पृष्ठ ७
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