Home
Class 12
MATHS
For what values of x and y are the follo...

For what values of `x` and `y` are the following matrices equal? `A=[(2x+1,3y),(0,y^2-5y)] B=[(x+3,y^2+2),(0,-6)]`

Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos

  • ALGEBRA OF VECTORS

    RD SHARMA ENGLISH|Exercise All Questions|325 Videos

Similar Questions

Explore conceptually related problems

For what values of x\ a n d\ y are the following matrices equal? A=[2x+1 2y0y^2-5y] , B=[x+3y^2+2 0-6]

For what values of x and y such that matrices A and B are equal ? A=[[2x+1,3y],[0,y^2-5y]],B=[[x+3,y^2+2],[ 0,-6]]

Which of the given values of x and y make the following pairs of matrices equal? [(3x+7, 5y+1),( 2,-3x)] and, [(0,y-2),( 8, 4)] a) x=-1/3,\ \ y=7 (b) y=7,\ \ x=-2/3 (c) x=-1/3,\ \ y=-2/5 (d) Not possible to find

Which of the given values of x and y make the following pair of matrices equal [3x+7 5y+1 2-3x],[0y-2 8 4] (a) x=(-1)/3, y=7 (b) Not possible to find (c) y=7, x=(-2)/3 (d) x=(-1)/3, y=(-2)/3

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

Find the values of x\ a n d\ y if [(x+10 ,y^2+2y),(0,-4)]=[(3x+4,3),(0,y^2-5y)]

For what value of k is the line x-y+2+k(2x+3y)=0 parallel to the line 3x+y=0 ?

If X and Y are 2xx2 matrices, then solve the following matrix equations for X and Y 2X+3Y=[[2,3],[4,0]],3X+2Y=[[-2,2],[1,-5]]

Find the value of x and y in given equations x+2y+3=0 and 4x-5y+1=0 .

If X and Y are 2xx2 matrices, then solve the following matrix equations for X and Ydot 2X+3Y=[2 3 4 0] , 3X+2Y=[-2 2 1-5]

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. Find the values of a and b if A=B , where A=[[a+4,3b],[8,-6]],B=[[2a+2...

    Text Solution

    |

  2. Find the values of x and y if [[x+10,y^2+2y],[0,-4]]=[[3x+4,3],[ 0,y^2...

    Text Solution

    |

  3. For what values of x and y are the following matrices equal? A=[(2x+1,...

    Text Solution

    |

  4. Let A ,B be two matrices such that they commute. Show that for any pos...

    Text Solution

    |

  5. Let A=[[2,3],[-1,2]] and f(x)=x^2-4x+7 Show that f(A)=0 Use this resul...

    Text Solution

    |

  6. If A=[3 5],B=[7 3], then find a non-zero matrix C such that AC=B...

    Text Solution

    |

  7. If A is a square matrix such that A^2=A , show that (I+A)^3=7A+Idot

    Text Solution

    |

  8. Under what conditions is the matrix A^2-B^2=(A-B)(A+B) is true?

    Text Solution

    |

  9. If a is a non-zero real or complex number. Use the principle of mathe...

    Text Solution

    |

  10. If A = [[cos^2theta, costhetasintheta],[costhetasintheta, sin^2theta]]...

    Text Solution

    |

  11. If A and B are square matrices of order n , then prove that A \ a n d ...

    Text Solution

    |

  12. Show that positive odd integral powers of a skew-symmetric matrix are ...

    Text Solution

    |

  13. If A=[(costheta,-sintheta),(sintheta,costheta)], then find the values ...

    Text Solution

    |

  14. If A=d i ag(abc), show that A^n=d i ag(a^nb^nc^n) for all positive int...

    Text Solution

    |

  15. If A=[[costheta,isintheta],[isintheta,costheta]], then prove by princ...

    Text Solution

    |

  16. Let A=[[1,-1, 0],[ 2, 1, 3],[ 1, 2, 1]] a n d B=[[1 ,2, 3],[ 2, 1, 3],...

    Text Solution

    |

  17. If [[xy, 4],[z+6, x+y]]=[[8, w],[0, 6]], write the value of (x+y+z)dot

    Text Solution

    |

  18. If A=[a(i j)] is a skew-symmetric matrix, then write the value of sumi...

    Text Solution

    |

  19. Express the matrix [3-2-4 3-2-5-1 1 2] as the sum of a symmetric and s...

    Text Solution

    |

  20. Show that the elements on the main diagonal of a skew-symmetric matrix...

    Text Solution

    |