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Construct a 2 × 2 matrix, A=[aij], whose elements are given by aij=ij - Mathematics

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प्रश्न

Construct a 2 × 2 matrix, `A= [a_(ij)]`, whose elements are given by  `a_(ij) = i/j`

योग

उत्तर

In general, a 2 × 2 matrix is given by A = `[(a_(11), a_(12)),(a_(21), a_(22))]`

`a_ij = i/j`, i , j = 1, 2

`:. a_(11) = 1/1 = 1` 

`a_(12) = 1/2`

`a_(21) = 2/1 = 2`

`a_(22) = 2/2 = 1`

Therefore, the required matrix is A = `[(1, 1/2), (2,1)]`

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अध्याय 3: Matrices - Exercise 3.1 [पृष्ठ ६४]

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एनसीईआरटी Mathematics [English] Class 12
अध्याय 3 Matrices
Exercise 3.1 | Q 4.2 | पृष्ठ ६४

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