1.

Without expandingthe determinant prove the following. |[2,7,65],[3,8,75],[5,9,86]|=0

Answer»

SOLUTION :`|[2,7,65],[3,8,75],[5,9,86]|=|[2+63,7,65],[3+72,8,75],[5+81,9,86]|=|[65,7,65],[75,8,75],[86,9,86]|`(by`C_1rarrC_1+9C_2`)
`=0 (becauseC_1=c_3)`


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