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)]`

Text Solution

Verified by Experts

As the given matrices `A` and `B` are equal, therefore, their corresponding elements must be equal. Comparing the corresponding elements, we get

`2 x+1=x+3`

`2 y=y^{2}+2 `

`y^{2}-5 y=-6`

`0=0`

On simplifying, we get

`x=2`, but there is no common value of `y` for which `A` and `B` are equal.

Hence, `A` and `B` cannot be equal for any value of `y`.

Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA|Exercise QUESTION|1 Videos
  • ALGEBRA OF VECTORS

    RD SHARMA|Exercise Solved Examples And Exercises|331 Videos

Similar Questions

Explore conceptually related problems

For what values of x and y are the following matrices equal? A=[[2x+1,3y0,y^(2)-5y]]B=[[x+3,y^(2)+20,-6]]

For what values of x and y are the following matrices equal 3yA=[[2x+1,3y0,y^(2)-5y]]B=[[x+3,y^(2)+20,-6]]

Find the value of 'x' and 'y' from the following matrix equation : [(2x+1,2y),(0,y^(2)-5y)]=[(x+3,y^(2)+2),(0,-6)]

For what values of x and y such that matrices A and B are equal 7A=[[2x+1,3y0,y^(2)-5y]],B=[[x+3,y^(2)+20,-6]]

Which of the given values of x and y make the following pair of matrices equal [(3x+2,5),(y+1,2-3x)],[(0,y-2),(8,4)] :

Which of the given values of x and y make the following pair of matrices equal [(3x+7,5),(y+1,2-3x)],[(0,y-2),(8,4)]

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

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

    Text Solution

    |

  2. Find the values of xa n dy if [x+10 y^2+2y0-4]=[3x+4 3 0y^2-5y]

    Text Solution

    |

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

    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 this result of find A^5

    Text Solution

    |

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

    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 Aa n dB wi...

    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

    |