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

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प्रश्न

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

`a_(ij)= (2i +j)^2/2`

योग

उत्तर

`a_(ij)= (2i +j)^2/2`

Here , 

`a_11= [2(1)+1]^2/2=(2+1)^2/2=(3)^2/2=9/2  , a_12 = [2(1)+2]^2/2=(4)^2/2=16/2=8`

`a_21=[2(2)+1]^2/2= (4+1)^2/2=(5)^2/2=25/2 ,  a_22= [2(2)+2]^2/2=(4+2)^2/2=(6)^2/2=36/2=18 `

so, the required matrix is `[[9/2    8 ],[25/5   18]]`

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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 5.4 | पृष्ठ ७

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