Practice Test

Q1) if a and B are two matrices of the order 3 x m and 3 x n, respectively and m=n,then the order of matrics(5A-2B) is Show Answer

Q2) if A is matrix of order m x n and B is a matrix such that AB' and B' A are both defined,then order of matrix B is Show Answer

Q3) For any two matrices A and b, we have Show Answer

Q4) Assuming that the sum and product given below are defined,which of the following is not true for matrices? Show Answer

Q5) If A and B are matrices of same order,then (AB' - BA') is a Show Answer

Q6) If A is a singular matrix, then A adj(A) Show Answer

Q7) If A is a skew-summetric matrix of odd order,then |adj A| is equal to Show Answer

Q8) If A be a square matrix of order n and if |A|=D and |adj A|=D',then Show Answer

Q9) Total number of possible matrices of order 3 x 3 with each entry 2 or 0 is Show Answer

Q10) If I is a unit matrix of order 10,then the determinant od I is equal to Show Answer

Q11) The system of equations x + y+3z=1,2x + y + 2z=3 and 3x+ 2y+5z=3 have Show Answer

Q12) The value of adj (adj A) is equal to Show Answer

Q13) The value of |adj (adj A)| is equal to Show Answer

Q14) The value of adj(adj B)| is equal to Show Answer

Q15) The value of |adj(adj AB)| is equal to Show Answer

Q16) The value of |(adj(adj(adj(adj A))))| is equal to Show Answer

Q17) Statement I: If a matrix of order 2 X 2 ,commutes with every matrix of order 2 X 2,then it is scalar matrix.
Statement II : A scalar matrix of order 2 X 2 commutes with every 2 X 2 matrix. Show Answer

Q18) Let A be a square matrix of order 3 satisfying A A'=I to
Statement I:A' A=I
Statement II : (AB)'=B' A' Show Answer

Q19) The number of 3 X 3 non-singular matrices with four entries as 1 and all other entries as 0,is Show Answer

Q20) If the value of a third-order determinant is 11, then the value of the determinant formed by the co-factors is Show Answer

Q21) Which of the following matrices does not have inverse? Show Answer

Q22) If A, B are square matrices of order 3, then: Show Answer

Q23) Let A be an invertible matrix. Which of the
following is not true? Show Answer

Q24) The inverse of a symmetric matrix is : Show Answer

Q25) The inverse of a skew–symmetric matrix is : Show Answer

Q26) The inverse of a skew–symmetric matrix of odd
order: Show Answer

Q27) If A is a non–singular square matrix, then
|adj. A| is : Show Answer

Q28) Let A be a square matrix all of whose entries
are integers. Then which one of the following is
true? Show Answer

Q29) If A is a skew-symmetric matrix, then trace of A is Show Answer

Q30) The product of two orthogonal matrices is Show Answer

Q31) Which one of the following is true always for any two non-singular matrices A and B of same order? Show Answer

Q32) If A is square matrix, then Show Answer

Q33) If A is an orthogonal matrix, then Show Answer

Q34) Which of the following is incorrect? Show Answer