Home
Class 14
MATHS
If A is any matrix. Then the product AA ...

If A is any matrix. Then the product AA is defied only when A is a matrix of order `m xx n`. Where

A

`m gt n`

B

`m lt n`

C

`m =n`

D

`m le n`

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

If A is any matrix, then the product AA is defined only when A is a matrix of order m xx n where :

If A is any mxxn matrix such that AB and BA are both defined, then B is a matrix of order

If A is a square matrix of order n then |kA|=

If A is a unit matrix of order n, then A(adjA) is

If A is a matrix of order p xx q and B is a matrix of order s xx t, under which one of the following conditions does AB exist ?

If A is a matrix of order 3xx7 and B is a matrix of order 7xx3 then what will be the order of the matrix AB and BA ?

If A is a matrix of order 3xx4 and B is a matrix of order 4xx3, find the order of the matrix of AB.

If A is a singular matrix of order n, then (adjA) is

PUNEET DOGRA-MATRIX-PREV YEAR QUESTIONS
  1. Consider the following statements in respect of the matrix A=[{:(0,1,2...

    Text Solution

    |

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

    Text Solution

    |

  3. If A is any matrix. Then the product AA is defied only when A is a mat...

    Text Solution

    |

  4. If [{:(2,3),(4,1)]xx[{:(5,-2),(-3,1)]=[{:(1,-1),(17,lamda):}] then wha...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. The inverse of a diagonal matrix is a:

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |