Home
Class 12
MATHS
Matrix A ha s m rows and n+ 5 columns; m...

Matrix A ha s m rows and n+ 5 columns; matrix B has m rows and `11 - n` columns. If both AB and BA exist, then (A) AB and BA are square matrix (B) AB and BA are of order `8 xx 8` and `3 xx 13`, respectively (C) `AB=BA` (D) None of these

A

AB and BA are square matrix.

B

AB and BA are of order `8xx8` and `3xx13`, respectively

C

AB = BA

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 1: Concept Builder (Topic 3)|23 Videos
  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 2: Concept Applicator|30 Videos
  • MATRICES

    DISHA PUBLICATION|Exercise Exercise 1: Concept Builder (Topic 1)|14 Videos
  • MATHEMATICAL REASONING

    DISHA PUBLICATION|Exercise Exercise-2 : Concept Applicator|30 Videos
  • PRINCIPLE OF MATHEMATICAL INDUCTION

    DISHA PUBLICATION|Exercise Exercise-2 Concept Applicator|20 Videos

Similar Questions

Explore conceptually related problems

Matrix A has x rows and x+5 columns. Matrix B has y rows and 11-y columns. If both AB and BA exist, then the ordered pair (x, y) is

Matrix A has (2y+1) rows and (x+9) columns matrix B has (19-x) rows and (y+3) columns.If both AB and BA exist then the value of (x+2y) is equal to

The matrix A has x rows and (x+5) column. If the matrix B has y rows and (11-y) columns & both AB and BA exist,then x=8 (b) x=3y=6 (d) y=8

The matrix A has x rows and x+5 columns The matrix B has y rows and 11-y columns both AB and BA exist. What are the values of the x and y respectively ?

" Matrix A has "x" rows and "x+4" columns and another matrix "B" has "y" rows and "2y-10" columns "" Both "AB" and "BA" exist then "x+y

If a matrix X has (a+b) rows and (a+2) columns and a matrix Y has (b+1) rows and (a+3) columns If both XY and YX exist. Then what are the values of a,b respectively ?

If A and B are two square matrix of order 3xx3 and AB=A,BA=B then A^(2) is:

If A and B are 3times3 matrices such that AB=A and BA=B, then

If A and B are n-rowed unitary matrices,then AB and BA are also unitary matrices.

If A and B are square matrices of the same order then (A+B)^2=A^2+2AB+B^2 implies (A) AB=0 (B) AB+BA=0 (C) AB=BA (D) none of these

DISHA PUBLICATION-MATRICES-Exercise 1: Concept Builder (Topic 2)
  1. If A and B are 2xx2 matrices, then which of the following is true ?

    Text Solution

    |

  2. If p, q, r are 3 real number satisfying the matrix equation, [p q r][[...

    Text Solution

    |

  3. If f(x)=x^(2)+4x-5andA={:[(1,2),(4,-3)]:}, then f(A) is equal to

    Text Solution

    |

  4. If [(1,x,1)][(1,3,2),(0,5,1),(0,3,2)][(x),(1),(-2)]=[0] then x is

    Text Solution

    |

  5. Let A=[a0 0 0a0 0 0a] , then A^n is equal to [a^n0 0 0a^n0 0 0a] (b) [...

    Text Solution

    |

  6. Which is true about matirx multiplication?

    Text Solution

    |

  7. If R(t)=[(cost,si nt),(-si nt,cost)], then R(s)R(t) equals

    Text Solution

    |

  8. If [(alpha,beta),(gamma,-alpha)] is square root of identity matrix of ...

    Text Solution

    |

  9. If A=[(1,0),(3,-1),(-5,2)] and B=[(1,-2),(-2,2),(1,1)] , then find the...

    Text Solution

    |

  10. Find matrices X, if 2X-Y=[(6,-6,0),(-4,2,1)] and X+2Y=[(3,2,5),(-2,1,-...

    Text Solution

    |

  11. If A=[(1,2,8)],B=[(4),(5),(6)], and C=[(0,2,0)] and D=[(5),(2),(4)], t...

    Text Solution

    |

  12. If [(2,0,7),(0,1,0),(1,-2,1)][(-x,14x,7x),(0,1,0),(x,-4x,-2x)]=[(1,0,0...

    Text Solution

    |

  13. If A is involuntary matrix and I is unit matrix of the same order then...

    Text Solution

    |

  14. Suppose a matrix A satisfies A^(2)-5A+7I=0. If A^(8)=aA+bI, find a-b.

    Text Solution

    |

  15. If {:A=[(0,1),(1,0)]:},I is the unit matrix of order 2 and a, b are a...

    Text Solution

    |

  16. If A is a square matrix such that A^2=A ,t h e n(I+A)^3-7A is equal to...

    Text Solution

    |

  17. Matrix A ha s m rows and n+ 5 columns; matrix B has m rows and 11 - n ...

    Text Solution

    |

  18. If X=[{:(3,-4),(1,-1):}],B=[{:(5,2),(-2,1):}]and A=[{:(p,q),(r,s):}] I...

    Text Solution

    |

  19. If {:A=[(costheta,sintheta),(-sintheta,costheta)]:}, " then "underset(...

    Text Solution

    |

  20. If matrix A=([a(i j)])(2xx2) , where a(i j)={1,\ if\ i!=j0,\ if\ i+j ,...

    Text Solution

    |