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Each row of M can be represented as a linear combination of the other rows

1)Does that mean linear combination of other rows will be 0?  how ?

2)And also , is linear combination means add, subtract, multiply and divide , but not squaring or root or exponential operation,right?

https://gateoverflow.in/3319/gate2008-it-29

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1) If each row of M can represented as the linear combination of the other rows 

then linear combination of all the rows (not other rows) will be zero.

Reason

Since each row of M can be represented as the linear combination of the other rows so we have

R1 = K2R2 + K3R3 + K4R4 + ............+KnRn

=> K2R2 + K3R3 + K4R4 + ............+KnRn - R1 = 0

=> K1R1 + K2R2 + K3R3 + K4R4 + ............+KnRn = 0 ( here k1 = -1 )

So, the linear combination of all the rows is zero.

2) Yes, linear combination means only add,substract,multiply and divide not any other operation.

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