Home
Class 12
MATHS
Given the matrices A and B as A=[(1,-1),...

Given the matrices A and B as `A=[(1,-1),(4,-1)]` and `B=[(1,-1),(2,-2)]`. The two matrices X and Y are such that `XA=B` and `AY=B`, then find the matrix `3(X+Y)`

Text Solution

AI Generated Solution

To solve the problem step by step, we will follow the process outlined in the video transcript. ### Step 1: Define the matrices A and B Given: \[ A = \begin{pmatrix} 1 & -1 \\ 4 & -1 \end{pmatrix} \] \[ B = \begin{pmatrix} 1 & -1 \\ 2 & -2 \end{pmatrix} \] ### Step 2: Calculate the determinant of matrix A ...
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    CENGAGE ENGLISH|Exercise CAE 13.1|5 Videos
  • MATRICES

    CENGAGE ENGLISH|Exercise CAE 13.2|6 Videos
  • MATRICES

    CENGAGE ENGLISH|Exercise Single correct Answer|34 Videos
  • MATHMETICAL REASONING

    CENGAGE ENGLISH|Exercise Archives|10 Videos
  • METHODS OF DIFFERENTIATION

    CENGAGE ENGLISH|Exercise Single Correct Answer Type|46 Videos

Similar Questions

Explore conceptually related problems

Give two matrices A and B A=[(1,-2),(1,4)] and B=[(11,-5),(-1,-1)] , Find AB .

Find matrices X and Y , if X+Y=[(5, 2),( 0, 9)] and X-Y=[(3, 6),( 0,-1)] .

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

Given matrix A=[{:(,5),(,-3):}] and matrix B=[{:(,-1),(,7):}] find matrix X such that : A+2X=B.

A={:[(1,2,1),(3,-1,2),(1,0,3)]:},B={:[(1,1,1),(-1,1,1),(2,-2,2)]:} then find matrix X such that 2A+X=2B.

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

Given two matrices A and B, A = [(1,-2,3),(1,4,1),(1,-3,2)] , B = [(11,-5,-14),(-1,-1,2),(-7,1,6)] Find AB and use this result to solve the following system of equations : x - 2y + 3z = 6, x + 4y + z = 12, x-3y + 2z = 1

If for two matrices M and N, N = [(3,2),(2,-1)] and product MxxN = [-1 4] , find matrix M.

if 2A -3B =[{:(4,2),(-1,0),(3,-2):}]and 3A+B=[{:(1,0),(3,5),(-1,4):}] , then find the matrices A And B,

CENGAGE ENGLISH-MATRICES-ILLUSTRATION
  1. Let A =[(1,-1,1),(2,1,-3),(1,1,1)] and 10B=[(4,2,2),(-5,0,alpha),(...

    Text Solution

    |

  2. Matrices a and B satisfy AB=B^(-1), where B=[(2,-1),(2,0)]. Find (i...

    Text Solution

    |

  3. Given the matrices A and B as A=[(1,-1),(4,-1)] and B=[(1,-1),(2,-2)]....

    Text Solution

    |

  4. If M is the matrix [(1,-3),(-1,1)] then find matrix sum(r=0)^(oo) ((-1...

    Text Solution

    |

  5. Let p be a non singular matrix, and I + P + p^2 + ... + p^n = 0, then ...

    Text Solution

    |

  6. If A and B are square matrices of same order such that AB=O and B ne O...

    Text Solution

    |

  7. If A is a symmetric matrix, B is a skew-symmetric matrix, A+B is nonsi...

    Text Solution

    |

  8. If the matrices, A, B and (A+B) are non-singular, then prove that [A(A...

    Text Solution

    |

  9. If matrix a satisfies the equation A^(2)=A^(-1), then prove that A^(2^...

    Text Solution

    |

  10. If A and B are non-singular symmetric matrices such that AB=BA, then p...

    Text Solution

    |

  11. If A is a matrix of order n such that A^(T)A=I and X is any matric suc...

    Text Solution

    |

  12. Show that two matrices A=[(1,-1,0),(2,1,1)] and B=[(3,0,1),(0,3,1)] ...

    Text Solution

    |

  13. Using elementary transformations, find the inverse of the matrix : ...

    Text Solution

    |

  14. Let a be a 3xx3 matric such that [(1,2,3),(0,2,3),(0,1,1)]=[(0,0,1),...

    Text Solution

    |

  15. Solve the following system of equations, using matrix method. x+2y+z=7...

    Text Solution

    |

  16. Using matrix method, show that following system of equation is inconsi...

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. Find the characteristic roots of the two-rowed orthogonal matrix [(cos...

    Text Solution

    |

  19. Show that if lambda(1), lambda(2), ...., lamnda(n) are n eigenvalues o...

    Text Solution

    |

  20. If A is nonsingular, prove that the eigenvalues of A^(-1) are the reci...

    Text Solution

    |