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

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प्रश्न

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

`a_(ij)=|-3i +j|/2`

योग
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उत्तर

`a_(ij)=|-3i +j|/2`

Here,

`a_11=|-3(1)+1|/2=|-3 +1|/2=|-2|/2=1 , a_12=|-3(1)+2|/2=|-3+2|/2=|-1|/2=1/2`

`a_21 = |-3(2)+1|/2=|-6+1|/2=|-5|/2=5/2 ,  a_22 = |-3(2)+2|/2=|-6+2|/2=|-1|/4=2`

So, the required matrix is  `[[1  1/2],[5/2  2]]`

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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 5.6 | पृष्ठ ७
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