Home
Class 14
MATHS
Consider the following statements: I. ...

Consider the following statements:
I. The product of two non-zero matrices can never be identity matrix.
II. The product of two non-zero matrices can never be zero matrix.
Which of the above statements is/are correct ?

A

A) Only I

B

B) Only II

C

C) Both I and II

D

D) Neither I nor II

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MATRIX

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|91 Videos
  • LOGARITHM

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|24 Videos
  • PERMUTATION AND COMBINATION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS|50 Videos

Similar Questions

Explore conceptually related problems

Consider the following statements : 1. The product of two non-zero matrices can never be identity matrix. 2. The product of two non-zero matrices can never be zero matrix. Which of the above statements is/are correct ?

Consider the following statements with respect to the square matrices A and B of same order I. A and B are non-zero and AB = 0 rArr either |A|=0 or |B|=0 II. AB=0 rArr A=0" or B=0 Which of the above statements is/are correct ?

Consider the following statements I. Determinant is a square matrix. II. Determinant is a number associated with a square matrix. Which of the above statement(s) is/are correct ?

Consider the following statements: I. If A=A. then A is singular matrix where A is the transpose of A. II. If A is a square matrix such that A^(3)=1 , then A is non-singular. Which of the above statement is/are correct ?

Consider the following statements : 1. every zero matrix is a square matrix. 2. A matrix has a numerical value. 3. A unit matrix is a diagonal matrix. Which of the above statements is/are correct ?

A, B, C are three non-zero matrices such that ABC = O, which of the following statements is true ?

PUNEET DOGRA-MATRIX-PREV YEAR QUESTIONS
  1. If [{:(2,3),(4,1)]xx[{:(5,-2),(-3,1)]=[{:(1,-1),(17,lamda):}] then wha...

    Text Solution

    |

  2. If A[{:(i,0),(0,-i)]B=[{:(0,-1),(1,0)] and C =[{:(0,i),(i,0):}] where ...

    Text Solution

    |

  3. Consider the following statements: I. The product of two non-zero ma...

    Text Solution

    |

  4. Consider the following statements : I. The matrix ({:(1,2,1),(2,2a,1...

    Text Solution

    |

  5. If 2A=[{:(2,1),(3,2):}] then what is A^(-1) equal to ?

    Text Solution

    |

  6. If A and B are two non-singular square matrices such that AB=A. then w...

    Text Solution

    |

  7. If A=[{:(3,4),(5,6),(7,8):}] and B =[{:(3,5,7),(4,6,8):}], then Which ...

    Text Solution

    |

  8. The inverse of a diagonal matrix is a:

    Text Solution

    |

  9. If the matrix [{:(alpha, 2,2),(-3,0,4),(1,-1,1):}] is not invertible t...

    Text Solution

    |

  10. If the matrix AB is a zero matrix, then which one of the following is ...

    Text Solution

    |

  11. If the sum the matrices [{:(x),(x),(y):}][{:(y),(y),(z):}] and [{:(z),...

    Text Solution

    |

  12. A square matrix [A(ij)] such that a(ij)=0 for I ne j and a(ij)=k where...

    Text Solution

    |

  13. Consider the following statements. I. Every zero matrix is a square ...

    Text Solution

    |

  14. If a matrix A has inverse B and C. then which one of the following is ...

    Text Solution

    |

  15. If A is a square matrix such that A^(2)=l where l is the identity matr...

    Text Solution

    |

  16. What is the order of : [xyz] [{:(a,h,g),(h,b,f),(g,f,c):}][{:(x),(y),(...

    Text Solution

    |

  17. Then sum and product of matrices A and B exist. Which of the following...

    Text Solution

    |

  18. If A=[{:(1,2),(1,1):}] and B = [{:(0,-1),(1,2):}] , then what is the v...

    Text Solution

    |

  19. Consider the following statements with respect to the square matrices ...

    Text Solution

    |

  20. For what value of x does {:(1  {:3 &nbsp {:2:})({:(1,3,0),(3,0,2),(2,0...

    Text Solution

    |