Question

Find the value of the determinant

                    

Solution

Correct option is

Take  and  common from each of c2 and C3 and rearrange the elen ents of first column.

                 

Splite into two determinants, the first to which will vanish, Take common from Δ1 and  from Δ2

  

Apply C1 – C2

 

   

SIMILAR QUESTIONS

Q2

 

Then f (100) is equal to

 

Q3
Q4

The number of values of k for which the system of equations

                (k + 1) x + 8y = 4k

                kx + (k + 3) y = 3k – 1

has infinitely many solution is

Q5

For what real values of k, the system of equations x + 2y + z = 1; x + 3y + 4z = k; x + 5y + 10z = khas solution? Find the solution of each case.

Q6

Let aij denoted the element of the ith row and jth column in 3 × 3 determinant (1 ≤ i ≤ 3, 1 ≤ j ≤ 3) and let aij – aij for every I and j. then the determinant has all the principle diagonal elements as

Q7

If each element of a determinant of third order with values A is multiplied by 3, then the value of newly formed determinant is

Q8
Q9

 

then x is equal to

 

Q10

For a fixed positive integer n, let D =