Practice Test

Q1) State the order of the matrix. Show Answer

Q2) State the type of the matrix. Show Answer

Q3) What does the number in the second row and third column represent. Show Answer

Q4) What does the number in the third row and first column represent. Show Answer

Q5) (A+B) Show Answer

Q6) (B-A) Show Answer

Q7) (A+B+C) Show Answer

Q8) (C-B)-A Show Answer

Q9) (A X B) Show Answer

Q10) (A X C) Show Answer

Q11) In a skew symmetric matrix, the diagonal elements are all Show Answer

Q12) Which one of the following is not true? Show Answer

Q13) From the matrix equation AB=AC we can conclude that B=C, provided Show Answer

Q14) The sum of three numbers is 2. If twice the second number is added to the sum of first and third, the sum is 1. By adding second and third number to five times the first number, we get 6. Then the three numbers are respectively Show Answer

Q15) If I is a unit matrix, then 3I will be Show Answer

Q16) A and B are two matrices such that A – B and AB are both defined, then Show Answer

Q17) Out of the following a skew-symmetric matrix is


Show Answer

Q18) If A and B are non-singular matrices, then Show Answer

Q19) Every identity matrix is a scalar matrix but every scalar matrix need not be identity matrix. Show Answer

Q20) If AB exist, then BA may or may not exist. Show Answer

Q21) IF AB and BA both exist, then AB = BA. Show Answer

Q22) The diagonal matrices re symmetric. Show Answer

Q23) If a matrix A of order n is both symmetric and skew symmetric then matrix A is _____. Show Answer

Q24) Inverse exists only for non-singular matrices Show Answer

Q25) For square matrix A and B and null matrix O if AB = O implies BA = O. Show Answer

Q26) The determinant of identity matrix is 1. Show Answer

Q27) If determinant of matrix A is zero then A is a non-singular matrix. Show Answer

Q28) The diagonal elements of a skew symmetric matrix are all zeros. Show Answer

Q29) The negative of a matrix is obtained by multiplying the matrix by -1. Show Answer

Q30) Matrices of any order can be added. Show Answer

Q31) Two matrices are equal if they have same number of rows and same number of columns. Show Answer

Q32) A square matrix in which every element is unity is called an identity matrix. Show Answer

Q33) If A, B, C are square matrices of the same order then AB = AC always implies B = C. Show Answer

Q34) Single element matrix is row as well as column matrix. Show Answer

Q35) Every scalar matrix is unit matrix. Show Answer

Q36) If AB and BA both exist then AB = BA. Show Answer

Q37) Singleton matrix is only row matrix. Show Answer