Chapter 1: Applications of Matrices and Determinants - Online Test

Q1. If | adj(adj A) |=| A |9 , then the order of the square matrix A is
Answer : Option B
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Q2. If A is a 3× 3 non-singular matrix such that AAT = AT A and B = A1 AT , then BBT =
Answer : Option C
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Q3. If A =  , B = adj A and C = 3A , then  =
Answer : Option B
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Q4. if , then A = 
Answer : Option C
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Q5. if , then 9I2 – A =
Answer : Option D
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Q6. if A = , B=  then | adj ( AB) |=
Answer : Option B
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Q7. If P=  is the adjoint of 3× 3 matrix A and | A |= 4 , then x is
Answer : Option D
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Q8. If A , and A1  then the value of a23 is
Answer : Option D
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Q9. If A, B and C are invertible matrices of some order, then which one of the following is not true?
Answer : Option B
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Q10. If ( AB)1 , and A-1, then B1 = 
Answer : Option A
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