Determinants - Online Test

Q1. The roots of the equation det. 
Answer : Option D
Explaination / Solution:

Expanding along C1


Q2. If , then the value of  
Answer : Option D
Explaination / Solution:



Q3.  then equals
Answer : Option C
Explaination / Solution:

Because , the determinant of a skew symmetric matrix of odd order is always zero and of even order is a non zero perfect square.

Q4. If the entries in a 3 x 3 determinant are either 0 or 1 , then the greatest value of this determinant is :
Answer : Option C
Explaination / Solution:

Greatest value = 2 .

Q5.
Answer : Option D
Explaination / Solution:



Q6. The determinant   is equal to
Answer : Option A
Explaination / Solution:

(Since C1 =0)

Q7. If 1/a+1/b+ 1/c = 0 , then 
Answer : Option C
Explaination / Solution:



Q8. A determinant is unaltered , if
Answer : Option C
Explaination / Solution:

This is because of the elementary transformations of determinants . The value of determinant remains unaffected by applying elementary transformations.

Q9.
Answer : Option D
Explaination / Solution:



Q10.  then B is given by
Answer : Option A
Explaination / Solution: