Home
Class 12
MATHS
Suppose A=[{:(5,4),(2,3):}]andB=[{:(3,5,...

Suppose `A=[{:(5,4),(2,3):}]andB=[{:(3,5,1),(6,8,4):}]` , then find AB and BA if they exist .

Text Solution

Verified by Experts

The correct Answer is:
`AB=[{:(39,57,21),(24,34,14):}]`; BA does not exist.
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU .S TEXTBOOK SOLUTIONS (Exercise (b) )|43 Videos

  • LINEAR PROGRAMMING

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Long Answer Type Questions 6 Marks)|18 Videos

  • PROBABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE(LONG ANSWER TYPE QUESTIONS)|17 Videos

Similar Questions

Explore conceptually related problems

If A=[{:(2,4),(3,2):}]andB=[{:(1,3),(-2,5):}] , then find A-B.

If A=[{:(2,0),(1,4):}]andB=[{:(-1,2),(3,0):}] , then find (AB).

If 3A-B=[{:(5,0),(1,1):}] and B=[{:(4,3),(2,5):}] then find the matrix A.

If A=[{:(1,-2,3),(-4,2,5):}] and B=[{:(2,3),(4,5),(2,1):}] then find AB and BA. Show that A and B are not commutative, i.e. AB ne BA .

Find AB , if A=[{:(6,9),(2,3):}]andB=[{:(2,6,0),(7,9,8):}]

If A=[{:(3,sqrt(3),2),(4,2,0):}]andB=[{:(2,-1,2),(1,2,4):}] , then verify that (A')'=A

ARIHANT PUBLICATION-MATRICES -CHAPTER PRACTICE (Very Short Answer Type Questions)
  1. Assume Y, W and P are the matrices of orders 3xxk,nxx3andpxxk .Find t...

    Text Solution

    |

  2. Let A=[a(ij)](nxxn) be a diagonal matrix whose diagonal elements are...

    Text Solution

    |

  3. Suppose A=[{:(5,4),(2,3):}]andB=[{:(3,5,1),(6,8,4):}] , then find AB a...

    Text Solution

    |

  4. Find x from the matrix equation [{:(1,3),(4,5):}][{:(x),(2):}]=[{:(5)...

    Text Solution

    |

  5. If matrix A=[{:(1,-1),(-1,1):}]andA^(2)=kA , then write the value of k...

    Text Solution

    |

  6. Show by an example that for AneO,BneOandAB=O.

    Text Solution

    |

  7. If A=[{:(1,2),(3,4):}]then find A+A .

    Text Solution

    |

  8. If A=[{:(0,-1,2),(4,3,-4):}]andB=[{:(4,0),(1,3),(2,6):}] then verify t...

    Text Solution

    |

  9. If A is a 4xx5 matrix and B is a matrix such that A^(T)B and BA^(T) bo...

    Text Solution

    |

  10. If A and B are symmetric matrices , then prove that BA - 2AB is neithe...

    Text Solution

    |

  11. Express the matrix A=[{:(3,1),(5,-1):}] as the sum of a symmetric and...

    Text Solution

    |

  12. If possible then find the value of BA and AB , where A=[{:(2,1,2),(1,2...

    Text Solution

    |

  13. A=[{:(3,-4),(1,1),(2,0):}]andB=[{:(2,1,2),(1,2,4):}], then verify that...

    Text Solution

    |

  14. If A=[{:(,),(,):}]andB=[{:(,),(,):}] , then find the matrices A^(2),B^...

    Text Solution

    |

  15. If A=[{:(0,1),(1,1):}]andB=[{:(0,-1),(1,0):}], then show that (A+B)(A-...

    Text Solution

    |

  16. If A=[{:(2,1):}],B=[{:(5,3,4),(8,7,6):}]andC=[{:(-1,2,1),(1,0,2):}] t...

    Text Solution

    |

  17. If A=[{:(0,6,7),(-6,0,8),(7,-8,0):}],B=[{:(0,1,1),(1,0,2),(1,2,0):}]an...

    Text Solution

    |

  18. How many different matrix products can you form with these three matri...

    Text Solution

    |

  19. Solve the matrix [{:(x,-5,-1):}][{:(1,0,2),(0,2,1),(2,0,3):}][{:(x),(4...

    Text Solution

    |

  20. If A(alpha)=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}], then prove...

    Text Solution

    |