Home
Class 12
MATHS
If A=[(2,-1),(3,2)](2X2) and B=[(1,-1),(...

If `A=[(2,-1),(3,2)]_(2X2)` and `B=[(1,-1),(2,1)]_(2xx2)]` Find AB.

Text Solution

AI Generated Solution

To find the product of two matrices \( A \) and \( B \), we will follow the matrix multiplication rules. Given: \[ A = \begin{pmatrix} 2 & -1 \\ 3 & 2 \end{pmatrix}, \quad B = \begin{pmatrix} 1 & -1 \\ 2 & 1 \end{pmatrix} \] We want to calculate \( AB \). ...
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|29 Videos
  • METHODS OF INTEGRATION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|106 Videos

Similar Questions

Explore conceptually related problems

Given A=[(1,4),(2,3)]_(2xx2) and B =[(1,4,2),(2,3,0)]_(2xx3) , Find AB.

If A=[(2,-3,1),(-2,3,4)] and B=[(2,5),(3,1),(4,2)] , then Find AB

If A=[{:(2,-1),(3,4),(1,5):}]" and "B=[{:(-1,3),(2,1):}] , find AB. Does BA exist?

If A=[(1,0),(3,-1),(-5,2)] and B=[(1,-2),(-2,2),(1,1)] , then find the matrix 'X' such that 3A + X = 5B.

If A=[(1,-2,3),(-4,2,5)] and B=[(2,3),(4,5),(2,1)] , find AB and BA and show that AB!=BA

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

If A = [ ( 2,-1,1),(2,-3,5) ] , B = [(3,-3),(4,-1),(5,0)] , find AB.

If A = [(0,1),(2,3),(1,-1)]and B = [(1,2,1),(2,1,0)] , then find (AB)^(-1)

Find AB, if A=[{:(1,2,3),(1,-2,3):}] and B=[{:(1,-1),(1,2),(1,-2):}] . Examine whether (AB)^(-1) exist or not.

If A=[(1,-2,1),(2,1,3)] and B=[(2,1),(3,2),(1,1)] then (AB)' is equal to

MAHAVEER PUBLICATION-MATRIX-QUESTION BANK
  1. If A =[(1,-1),(2,5)] and B=[(-2,2),(3,1)] then find the values A^2-2B^...

    Text Solution

    |

  2. If A =[(1,-1),(2,5)] and B=[(-2,2),(3,1)] then find the values BA+2l, ...

    Text Solution

    |

  3. If A=[(2,-1),(3,2)](2X2) and B=[(1,-1),(2,1)](2xx2)] Find AB.

    Text Solution

    |

  4. In the matrix A=[(2,-1,3),(4,6,1) ],write the order of the matrix

    Text Solution

    |

  5. In the matrix A=[(2,-1,3),(4,6,1) ],write the elements, what are the p...

    Text Solution

    |

  6. If a matrix has 12 elements, what are the possible order in can have ?

    Text Solution

    |

  7. Construct a2xx2 matrix A whose elements are given by a(ij)=2i+j

    Text Solution

    |

  8. Construct a2xx2 matrix A whose elements are given by a(ij)=1/2(i-2j)^2

    Text Solution

    |

  9. Construct a2xx2 matrix A whose elements are given by a(ij)=1/2|-3i+j|

    Text Solution

    |

  10. If [(a+b ,2),(5,ab)]=[(6,2),(5,8)], Find the values of a and b.

    Text Solution

    |

  11. Find x,y,a and b if[(2x+3y,a+b,8),(1,4x+y,3a-4b)]=[(7,1,8),(1,9,10)].

    Text Solution

    |

  12. Find the number of all possible matrices of order 3xx3 with each entry...

    Text Solution

    |

  13. Let,A=[(2,4),(3,2)],B=[(1,3),(-2,5)],C[(-2,5),(3,4)] Find each of the ...

    Text Solution

    |

  14. Let,A=[(2,4),(3,2)],B=[(1,3),(-2,5)],C[(-2,5),(3,4)] Find each of the ...

    Text Solution

    |

  15. Let,A=[(2,4),(3,2)],B=[(1,3),(-2,5)],C[(-2,5),(3,4)] Find AB

    Text Solution

    |

  16. Let,A=[(2,4),(3,2)],B=[(1,3),(-2,5)],C[(-2,5),(3,4)] Find BA

    Text Solution

    |

  17. Find the product of [(a,b),(-b,a)][(a,-b),(b,a)]

    Text Solution

    |

  18. Find the product of [(2,1),(3,2),(-1,1)][(1,0,1),(-1,2,1)]

    Text Solution

    |

  19. Find the product of [(2,3,4),(3,4,5),(4,5,6)][(1,-3),(0,2),(3,0)]

    Text Solution

    |

  20. Find X and Y ,ifX+Y =[(7,0),(2,5)] and X-Y= [(3,0),(0,3)]

    Text Solution

    |