Find the value of ' (k ) ', if ( | array ccc k-2 & 2 k-3 & 3 k-4 k-4 & 2 k-9 & 3 k-16 k-8 & 2 k-27 & 3 k-64 array |=0 )

Step-by-step solution

It is given that, ( | array ccc k-2 & 2 k-3 & 3 k-4 k-4 & 2 k-9 & 3 k-16 k-8 & 2 k-27 & 3 k-64 array |=0 ) On applying, (R₂ R₂-R₁ ) and (R₃ R₃-R₁ ), we get ( aligned & | array ccc k-2 & 2 k-3 & 3 k-4 -2 & -6 & -12 -6 & -24 & -60 array |=0 & | array ccc k-2 & 2 k-3 & 3 k-4 1 & 3 & 6 1 & 4 & 10 array |=0 & (k-2)[30-24]-(2 k-3)[10-6]+(3 k-4)[4-3]=0 & 6 k-12-8 k+12+3 k-4=0 k=4 aligned )