Home
Class 11
MATHS
If A and B are two matrices such that A+...

If A and B are two matrices such that A+B and AB are both defind, then

A

A and B can be any two matrices

B

A and B are square matrices not necessarily of the same order

C

A, B are square matries of the same order

D

number of columns of A is same as the number of rows of B

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • MATRICES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Assertion Reason Type|12 Videos

  • LOGARITHMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|21 Videos

  • MEAN VALUE THEOREMS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|28 Videos

Similar Questions

Explore conceptually related problems

A ,\ B are two matrices such that A B and A+B are both defined; show that A ,\ B are square matrices of the same order.

If A and B are two matrices such that AB=B and BA=A , then A^2+B^2=

If A and B are two matrices such that A B=A and B A=B , then B^2 is equal to (a) B (b) A (c) 1 (d) 0

Let A and B are two matrices such that AB = BA, then for every n in N

If A and B are two matrices such that rank of A = m and rank of B = n, then

If A and B are two matrices such that AB=A, BA=B, then A^25 is equal to (A) A^-1 (B) A (C) B^-1 (D) B

If A and B are two square matrices such that AB=I, then which of the following is not true?

If A and B are two matrices of order 3 such that AB=O and A^(2)+B=I , then tr. (A^(2)+B^(2)) is equal to ________.

A and B be 3xx3 matrices such that AB+A+B=0 , then

If A and B are any two 2 xx 2 matrices such that AB=BA=B and B is not a zero matrix, what can you say about the matrix A ?

OBJECTIVE RD SHARMA ENGLISH-MATRICES-Exercise
  1. Find the matrix A satisfying the matrix equation [{:(2,1),(3,2):}]A[...

    Text Solution

    |

  2. If [(1,-tantheta),(tantheta,1)][(1,tantheta),(-tantheta,1)]^(-1)=[(a,-...

    Text Solution

    |

  3. If A and B are two matrices such that A+B and AB are both defind, then

    Text Solution

    |

  4. If a matrix A is such that 3\ A^3+2\ A^2+5\ A+I=0 , then A^(-1) is equ...

    Text Solution

    |

  5. Let A and B be matrices of order 3 xx 3. If AB = 0, then which of the ...

    Text Solution

    |

  6. If A is an invertible matrix, then which of the following is correct

    Text Solution

    |

  7. Which of the following is/are incorrect? (i) adjoint of a symmetri...

    Text Solution

    |

  8. If [[alpha, beta], [gamma, -alpha]] is to be square root of two-rowed ...

    Text Solution

    |

  9. If for matrix A,A^(2)+l=0, where l is the identity matrix, then A equa...

    Text Solution

    |

  10. If A=[a(ij)](mxxn) is a matrix of rank r then (A) r=min{m,n} (B) rlemi...

    Text Solution

    |

  11. If In is the identity matrix of order n, then rank of In is

    Text Solution

    |

  12. A=[a(ij)](mxxn) is a square matrix, if

    Text Solution

    |

  13. The rank of a null matrix is

    Text Solution

    |

  14. If A is a matrix such that there exists a square submatrix of order r ...

    Text Solution

    |

  15. Which of the following is correct ?

    Text Solution

    |

  16. If a square matrix A is orthogonal as well as symmetric, then

    Text Solution

    |

  17. Let A be a skew-symmetric of odd order, then absA is equal to

    Text Solution

    |

  18. Let A be a skew-symmetric matrix of even order, then absA

    Text Solution

    |

  19. If A is an orthogonal matrix, then

    Text Solution

    |

  20. Let A be a non-singular square matrix of order n. Then; |adjA| =

    Text Solution

    |