Prove using properties :
|43 3 6|
|35 21 4|=0
|17 9 2|

Let  = 4336352141792=3431635741732Apply C1 = C1 - C2, we get=3421628741432 = 21616474232 = 21 × 0  as, C1 and C3 are identical, so  = 0 = 0

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|43 3 6|
|35 21 4|
|17 9 2|

Taking 3 common fron C2

=3 |43 1 6|
|35 7 4|
|17 3 2|

C1= C1-C2

= 3 |42 1 6|
|28 7 4|
|14 3 2|

Taking 7 common from C1

= 21 |6 1 6|
|4 7 4|
|2 3 2|
Since 2 coloums are equal therefore

Determinant=0

Hence proved
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