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Consider the following system if equatio...

Consider the following system if equations `a_1x+b_1y+c_1z=d_1, a_2x+b_2y+c_2z=d_2, a_3x+b_3y+c_3z=d_3` Let `/_\= |(a_1,b_1,c_1), (a_2,b_2,c_2), (a_3,b_3,c_3)|, /_\_1= |(d_1,b_1,c_1), (d_2,b_2,c_2), (d_3,b_3,c_3)|, ,/_\_2=|(a_1,d_1,c_1), (a_2,d_2,c_2), (a_3,d_3,c_3)|,, /_\_3=|(a_1,b_1,cd_1), (a_2,b_2,d_2), (a_3,b_3,d_3)|, ` The given system of equations will have i. unique solution of `/_\!=0` ii. infinitely many solutions if `/_\=/_\_1=/_\_3=0. iii. no solution if /_\=0 and any of ` /_\_1, /_\_2, /_\_3` is none zero. On the basis of above informatioin answer thefollowing questions for the following system of linear equations. `2x+ay+6z=8, x+2y+bz=5, x+y+3z=4` The given system of equatioin has unique solution if (A) `a=2,b=2` (B) `a!=2,b=3` (C) `a!=2, b!=3` (D) `a=2,b!=3`

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