Matrices - Online Test
Q2. Adj.(KA) = ….
Answer : Option B
Explaination / Solution:
Adj.A , where K is a scalar and A is a n x n matrix.
Q3. If A and B are any two square matrices of the same order, then
Answer : Option B
Explaination / Solution:
By the property of transpose , (AB )’ = B’A’.
Q4. If A is any square matrix, then
Answer : Option A
Explaination / Solution:
For every square matrix (A + A’ ) is always symmetric.
Q5. If A any square matrix then which of the following is not symmetric ?
Answer : Option A
Explaination / Solution:
For every square matrix (A – A’ ) is always skew – symmetric.
Q6. Each diagonal element of a skew-symmetric matrix is
Answer : Option A
Explaination / Solution:
The diagonal elements of a skew-symmetric is zero.
Q7. 
Answer : Option D
Explaination / Solution:
symmetric matrix ,since A’ = A . therefore ,
Q8. 
Answer : Option D
Explaination / Solution:
The diagonal elements of a skew – symmetric matrix is always zero and the elements aij= - aji
Q9. If , then ,which of the following is true :
Answer : Option A
Explaination / Solution:
The given matrix is a skew – symmetric matrix.,therefore , A = - A’.
Q10. If A and B are symmetric matrices of order n ( A≠ B), then
Answer : Option C
Explaination / Solution:
Sum of two symmetric matrices is also symmetric.
