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construct a 2xx3 matrixA=[a(ij)], whose ...

construct a `2xx3 matrixA=[a_(ij)]`, whose elements are give by `a_(ij)= ((3i+4j)/(2))`
where (.) denotes the least integer function.

Text Solution

Verified by Experts

Since, `a_(ij) = ((3i+4j)/(2)),`"therefore"
`a_(11)=((3+4)/(2))= ((7)/(2))=(3.5)=4,`
`a_(12)=((3+8)/(2))= ((11)/(2))=(5.5)=6,`
`a_(13)=((3+12)/(2))= ((15)/(2))=(7.5)=8,`
`a_(21)=((6+4)/(2))= ((10)/(2))=(5)=5,`
`a_(22)=((6+8)/(2))= ((14)/(2))=(7)=7,`
and `a_(23)=((6+12)/(2))= ((18)/(2))=(9)=9,`
Hence , the requried matrix is
`A = [{:(4,6,8),(5,7,9):}]`
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