1.

If matrix A_(lamda)=[(lamda+1,lamda-2),(lamda-1,lamda)], lamda epsilonN then the valueof |A_(1)|+|A_(2)|+|A_(3)|+…………….+|A_(300)|is

Answer»

`(299)^(2)`
`(300)^(2)`
`2(300)^(2)`
`(301)^(2)`

Solution :`|A_(2)|=LAMDA(lamda+1)-(lamda-1)(lamda-2)=4lamda-2`
`|A_(1)|+|A_(2)|+|A_(3)|+……+|A_(300)|`
`implies4{1+2+3+…….+300|-600`
`implies4.(300.301)/2-600=2(300)^(2)`


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