Home
Class 12
MATHS
If A=[{:(1,2,2),(2,1,-2),(x,2,y):}] is a...

If `A=[{:(1,2,2),(2,1,-2),(x,2,y):}]` is a matrix satisfying AA=9I, then find the values of `x` and `y`.

Text Solution

Verified by Experts

The correct Answer is:
`y=-1`
Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 2

    ARIHANT PRAKASHAN|Exercise SECTION -C |13 Videos
  • VERY SIMILAR TEST 2

    ARIHANT PRAKASHAN|Exercise SECTION -C |13 Videos
  • VERY SIMILAR TEST 10

    ARIHANT PRAKASHAN|Exercise SECTION C (30 MARKS)|25 Videos
  • VERY SIMILAR TEST 4

    ARIHANT PRAKASHAN|Exercise Section - C |13 Videos

Similar Questions

Explore conceptually related problems

If [{:(3,2),(7,x):}][{:(5,-2),(-7,y):}]=[{:(1,0),(0,1):}] then find the value of x and y .

If 2[{:(1,3),(0,x):}]+[{:(y,0),(1,2):}]=[{:(5,6),(1,8):}] , then find the value of (x+y) .

If [(x+y, x-2),(2x-y,0)] = [(2,2),(1,0)] then find the values of x,y?

If [[2x,1],[5,x+2y]]=[[4,1],[5,0]] then find the value of x+y.

If [[(x,y)],[(x,x/2+x)]]+[[(y,x+t)],[(x/2,x/2)]]=[[(1,4)],[(2,2)]] then find the values of x,y,z and t.

If [[x-y,z],[2x-y,w]]=[[-1,4],[0,5]] then find the value of x+y.

If X=[{:(3,1,-1),(5,-2,-3):}]andY=[{:(2,1,-1),(7,2,4):}] , then find matrix Z, such that X+Y +Z is a zero matrix.

If [[x,x-y],[2x+y,7]]=[[3,1],[8,7]] then find the value of y.

ARIHANT PRAKASHAN-VERY SIMILAR TEST 2 -SECTION -B
  1. Solve for x, 2 tan ^(-1)(cos x) =tan^(-1) (2"cosec"x).

    Text Solution

    |

  2. Factorize the following. [[x,2,3],[1,x+1,3],[1,4,x]]

    Text Solution

    |

  3. If A=[{:(1,2,2),(2,1,-2),(x,2,y):}] is a matrix satisfying AA=9I, then...

    Text Solution

    |

  4. If A=[a(ij)] is a square matrix such that a(ij)=i^(2)-j^(2) , the...

    Text Solution

    |

  5. If A(x(1), y(1)), B(x(2), y(2)), and, C(x(3), y(3)) are vertices of an...

    Text Solution

    |

  6. A random variable X has following probability distribution . Fin...

    Text Solution

    |

  7. A random variable X has following probability distribution . Fin...

    Text Solution

    |

  8. A random variable X has following probability distribution . Fin...

    Text Solution

    |

  9. A random variable X has following probability distribution . Fin...

    Text Solution

    |

  10. If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t)), then show that (dy)/(d...

    Text Solution

    |

  11. Find the extreme points of the function f(x)=x^(2)sqrt(1-x^(2)). Als...

    Text Solution

    |

  12. Verify the LMVT for the function f(x)=(1)/(4x-1),1lexle4.

    Text Solution

    |

  13. Using differentials, find approximate value (255)^(1//4)

    Text Solution

    |

  14. Find the equations of all lines having slope -1, that are tangent to t...

    Text Solution

    |

  15. Evaluate int(1)/(sqrt(8+3x-x^(2)))dx.

    Text Solution

    |

  16. Evaluate int(0)^(pi//4)tan^(5)xdx.

    Text Solution

    |

  17. Find the area enclosed by the ellipse (x^(2))/(16)+(y^(2))/(9)=1.

    Text Solution

    |

  18. Form the differential equation of the family of circles having centr...

    Text Solution

    |

  19. If vec(a), vec(b) and vec(c) are three vectors such that vec(a) + vec(...

    Text Solution

    |

  20. If veca,vecb and vecc are three vectors such that |veca|=5,|vecb|=12,|...

    Text Solution

    |