1.

If matrix A_lambda=[{:(lambda+1,lambda-2),(lambda-1,lambda):}], lambda in N then the value of |A_1|+|A_2|+|A_3|+..... + |A_300| is :-

Answer»

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

Solution :`|A_lambda|=lambda(lambda+1)-(lambda-1)(lambda-2)=4lambda-2`
`|A_1|+|A_2|+|A_3|` + …. + `|A_300|`
`RARR` 4{1+2+3+….+300} -600
`rArr 4.(300.301)/2 -600=2(300)^2`


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