Chapter 1: Applications of Matrices and Determinants - Online Test
Q1. If ρ ( A) = ρ ([ A | B]) , then the system AX = B of linear equations is
Answer : Option B
Explaination / Solution:
Q2. If 0 ≤ θ ≤ π and
the system of equations x + (sinθ ) y − (cosθ )z
= 0, (cosθ )x − y + z = 0, (sinθ )x +
y − z = 0 has a non-trivial solution then θ is
Answer : Option D
Explaination / Solution:
Q3. The augmented matrix of a
system of linear equations is 
. The system has infinitely many solutions if
. The system has infinitely many solutions if
Answer : Option D
Explaination / Solution:
Q4. let A= 
, and 4B = 
, If B is the inverse of A , then the value of x is
, and 4B = , If B is the inverse of A , then the value of x is
Answer : Option D
Explaination / Solution:
Q5. If A= 
, then
adj(adj A) is
, then
adj(adj A) is
Answer : Option A
Explaination / Solution:
