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Construct a 2xx3matrix A=[a(ij)], whose ...

Construct a `2xx3`matrix `A=[a_(ij)]`, whose elements are given by `a_(ij) =(1)/(2)|2i-3j|`.

Text Solution

Verified by Experts

since, `a_(ij)=(1)/(2)|2i-3j|`,"therefore"
`a_(11)=(1)/(2)|2-3|=(1)/(2)|-1|=(1)/(2)`,
`a_(12)=(1)/(2)|2-6|=(1)/(2)|-4|=(4)/(2)=2`,
`a_(13)=(1)/(2)|2-9|=(1)/(2)|-7|=(7)/(2)`,
`a_(21)=(1)/(2)|2-3|=(1)/(2)|-1|=(1)/(2)`,
`a_(22)=(1)/(2)|2-6|=(1)/(2)|-4|=(4)/(2)=2`,
`a_(23)=(1)/(2)|4-9|=(1)/(2)|-5|=(5)/(2)`,
Hence, the required matrix is A = `[{:((1)/(2),2,(7)/(2)),((1)/(2),2,(5)/(2)):}]`
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