Home
Class 12
MATHS
If A=[[0,1],[-1,0]], find x\ a n d \ y s...

If `A=[[0,1],[-1,0]],` find `x\ a n d \ y` such that `(x I+y A)^2=A`

Text Solution

AI Generated Solution

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

If 2[3 4 5x]+[1y0 1]=[7 0 10 5] , find x and y .

If 5^(3x)=\ 125\ and 10^y=0. 001 find x\ a n d\ y

If x=1\ a n d\ y=6 is a solution of the equation 8x-a y+a^2=0 , find the value of a

If [(1 ,0, 0) ,(0 ,1, 0),( 0 ,0 ,1)][(x),( y),( z)]=[(1),(-1),( 0)] , find x ,\ y\ a n d\ z .

If [[(x+3y),y],[7-x,4]]=[(4,-1),(0,1)], find the values of x and y.

If [2x+1 5x0y^2+1]=[x+3 10 0 26] , find the value of (x+y) .

If [(1,0,0 ), (0,-1,0), (0,0, -1)][(x),(y),( z)]=[(1),(0),(1)] , find x ,\ y\ a n d\ z .

If [(1, 0 ,0 ),(0,y,0),( 0, 0, 1)][(x),(-1),(z)]=[(1),( 0),( 1)] , find x ,\ y\ a n d\ z .

If |[6i,-3i,1],[ 4, 3i,-1],[ 20, 3,i]|=x+i y , then a. x=3,y=1 b. x=1,y=3 c. x=0,y=3 d. x=0,y=0

Multiply the monomial by the binomial and find the value of each for x=-1, y=0. 25\ a n d\ z=0. 05 : (i) 15 y^2(2-3x) (ii) -3x(y^2+z^2) (iii) z^2(x-y)

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. Find the value of x such that [(1,x,1)][(1, 3, 2),( 2, 5, 1), (15, 3, ...

    Text Solution

    |

  2. If A=[(1,-1), (2,-1)],B=[(a,1),(b,-1)]a n d(A+B)^2=A^2+B^2,fin daa n d...

    Text Solution

    |

  3. If A=[[0,1],[-1,0]], find x\ a n d \ y such that (x I+y A)^2=A

    Text Solution

    |

  4. If [(2,-1),(1,0),(-3,4)]A=[(-1,-8,-10),(1,-2,-5),(9,22,15)], find A.

    Text Solution

    |

  5. Questions of matrix polynomial Equation

    Text Solution

    |

  6. If Aa n dB are symmetric matrices of the same order, write whether AB-...

    Text Solution

    |

  7. If A is a square matrix such that A^2=A ,t h e n(I+A)^3-7A is equal ...

    Text Solution

    |

  8. If A is a square matrix such that A^2=A , then write the value of 7A-(...

    Text Solution

    |

  9. Construct a 3xx4 matrix A=[a(i j)] whose elements are given by (i)a...

    Text Solution

    |

  10. If [x-y2x+z2x-y3z+w]=[-1 5 0 13] , find x ,\ y ,\ z ,\ wdot

    Text Solution

    |

  11. Find dy/dx if x+y =( tanx)^2

    Text Solution

    |

  12. A matrix has 12 elements. What are the possible orders it can have?

    Text Solution

    |

  13. Find dy/dx If y= (sinx)^cosx .

    Text Solution

    |

  14. A matrix has 12 elements. What are the possible orders it can have?

    Text Solution

    |

  15. Construct a 2xx2 matrix A=[a(i j)] whose elements are given by a(i ...

    Text Solution

    |

  16. Construct a 2xx3 matrix A=[a(i j)] whose elements are given by a(i ...

    Text Solution

    |

  17. Construct a 3xx2 matrix A=[a(i j)] whose elements are given by a(i j...

    Text Solution

    |

  18. Find x ,\ y ,\ z and w such that [(x-y,2z+w),(2x-y,2x+w)]=[(5, 3 ),(...

    Text Solution

    |

  19. Consider the following information regarding the number of men and ...

    Text Solution

    |

  20. If [(a+b,2),( 5,a b)]=[(6, 2),( 5, 8)] , find the values of a and b ...

    Text Solution

    |