Home
Class 12
MATHS
Consider the following statements : 1....

Consider the following statements :
1. A matrix is not a number
2. Two determinants of different order may have the same value.
Which of the above statements is/are correct ?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Text Solution

Verified by Experts

The correct Answer is:
C
Both the statement are correct.
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRATION

    NDA PREVIOUS YEARS|Exercise MCQ|59 Videos

  • PAIR OF STRAIGHT LINES

    NDA PREVIOUS YEARS|Exercise Example|12 Videos

Similar Questions

Explore conceptually related problems

Consider the following statements I. A matrix is not a number. II. Two determinants of different orders may have the same value. Which of the above statement(s) is/are correct ?

Consider the following statements : 1. Determinant is a square matrix. 2. Determinant is a number associated with a square matrix. 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 : 1. Every integer is a rational number. 2. Every rational number is a real number. Which of the above statements is/are correct ?

Consider the following statements: 1. Every composite number is a natural number 2. Every whole number is a natural number Which of the statement given above "is/are" correct ?

Consider the following statements A.The sum of two prime numbers is a prime number. B. The product of two prime numbers is a prime number. Which of these statements is/are correct?

Consider the following statements in respect of symmetric matrices A and B 1. AB is symmetric. 2. A^(2) + B^(2) is symmetric. Which of the above statement(s) is/are correct ?

NDA PREVIOUS YEARS-MATRICES & DETERMINANTS-MQS
  1. The determinant of a orthogonal matrix is :

    Text Solution

    |

  2. If D is determinant of order 3 and D' is the determinant obtained by r...

    Text Solution

    |

  3. Consider the following statements : 1. A matrix is not a number 2....

    Text Solution

    |

  4. Consider the following statements : 1. The product of two non-zero m...

    Text Solution

    |

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

    Text Solution

    |

  6. The cofactor of the element 4 in the determinant |{:(1,2,3),(4,5,6),(7...

    Text Solution

    |

  7. If A is a square matrix of order 3 with |A|ne 0, then which one of the...

    Text Solution

    |

  8. If A =({:(i,0),(0,-i):}),B=({:(0,-1),(1,0):}),C=({:(0,i),(i,0):}) wher...

    Text Solution

    |

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

    Text Solution

    |

  10. If ({:(2,3),(4,1):})xx({:(5,-2),(-3,1):})=({:(1,-1),(17,lambda):}), th...

    Text Solution

    |

  11. |[1,bc,bc(b+c)],[1,ca,ca(c+a)],[1,ab,ab(a+b)]|=0

    Text Solution

    |

  12. Consider the following statements in respect of the matrix A=[{:(0,1,2...

    Text Solution

    |

  13. Consider two matrices A=[{:(1,2),(2,1),(1,1):}]and B=[{:(1,2,-4),(2,1,...

    Text Solution

    |

  14. One of the roots of |{:(x+a," "b," "c),(" "a,x+b," "c),(" "a," "b,x+c)...

    Text Solution

    |

  15. If A is any matrix, then the product AA is defined only when A is a ma...

    Text Solution

    |

  16. If A is a skew-symmetric matrix of odd order n , then |A|=0

    Text Solution

    |

  17. If any two adjacent rows or columns of a determinant are intercharged ...

    Text Solution

    |

  18. If a ne b ne c are all positive, then the value of the determinant |{:...

    Text Solution

    |

  19. Let A and B be two matrices such that AB = A and BA = B. Which of the ...

    Text Solution

    |

  20. |{:("6i " "-3i " "1" ),("4 " " 3i" " -1"),("20 " "3 " " i"):}|=x+iy th...

    Text Solution

    |