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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)={{:(2i)/(3j):}}` "therefore"
`a_(11) = {(2)/(3)} = (2)/(3), a_(12)={(2)/(6)} = {(1)/(3)} = (1)/(3),`
`a_(13) = {(2)/(9)} = (2)/(9), a_(21)={(4)/(3)} ={1+ (1)/(3)} = (1)/(3),`
`a_(22) = {(4)/(6)} = (2)/(3)and a_(23)={(4)/(9)} = = (4)/(9),`
Hence , the required matrix is A = `[{:((2)/(3),(1)/(3),(2)/(9)),((1)/(3),(2)/(3),(1)/(9)):}].`
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