1.

Evaluate the following determinants: [[1^2,2^2,3^2],[2^2,3^2,4^2],[3^2,4^2,5^2]]

Answer»

SOLUTION :`[[1^2,2^2,3^2],[2^2,3^2,4^2],[3^2,4^2,5^2]]=[[1,4,9],[4,9,16],[9,16,25]]`
= `1[[9,16],[16,25]]-4[[4,16],[9,25]]+9[[4,9],[9,16]]`
=225-256-4(100-144)+9(64-81)
-31+176-153=-184+176
=-8


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