यदि `A` एक `3xx3` कोटि का वर्ग आव्यूह है तो `|kA|` का मान होगा:

Options

A. `k|A|`
B. `k^(2)|A|`
C. `k^(3)|A|`
D. `3k|A|`

Answer

C

Explanation

माना `A=[(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3))]`
`implieskA=[(ka_(1),ka_(2),ka_(3)),(kb_(1),kb_(2),kb_(3)),(kc_(1),kc_(2),kc_(3))]`
`implies|kA|=|(ka_(1),ka_(2),ka_(3)),(kb_(1),kb_(2),kb_(3)),(kc_(1),kc_(2),kc_(3))|`
`=k^(3)|(a_(1),a_(2),a_(3)),(b_(1),b_(2),b_(3)),(c_(1),c_(2),c_(3))|=k^(3).|A|`