Home
Class 12
MATHS
Solve the matrix equations: [(0, 2, 1...

Solve the matrix equations: `[(0, 2, 1)][(1, 2, 0),( 2 ,0 ,1 ),(1 ,0 ,2)][(0 ),(2),(x)]=0`

Text Solution

Verified by Experts

Given that,
`[(0, 2, 1)][(1, 2, 0),( 2 ,0 ,1 ),(1 ,0 ,2)][(0 ),(2),(x)]=0`
`implies [(0,2,1)][(2),(x),(2x)]=0`
`implies [(2),(2x),(2x)]=[(0),(0),(0)]`
`implies x=0`
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

Solve the matrix equations: [(x,-5,-1)][(1, 0, 2) ,( 0,2 ,1),( 2, 0, 3)][(x),(4),( 1)]=0 (iv) [2x 3][(1, 2),(-3, 0)][(x),(8)]=0

Solve the matrix equation [(2,1),(5,0)]-3X=[(-7,4),(2,6)]

If [(1,2,1)][(1,2,0),(2,0,1),(1,0,2)] [(0),(2),(x)] = 0 , then the value of x is

for what values of x: [1" "2" "1][{:(1,2,0),(2,0,1),(1,0,2):}][{:(0),(2),(x):}]=0?

Solve the following matrix equation for x:,[x1][[1,0-2,0]]-O

Solve the equation: 2x^(2)+x+1=0

Solved the following equation for x : ["x 1"][(1,0),(-2,0)]=O

Find the matrix A satisfying the matrix equation [(2, 1),( 3, 2)]A[(-3, 2),( 5,-3)]=[(1, 0 ),(0, 1)] .

The equation [1 x y][(1,3,1),(0,2,-1),(0,2,-1)] [(1),(x),(y)]=[0] has

Solve the quadratic equation x^(2)+x-(a+2)(a+1)=0

RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. If A=[(2, 3),( 1, 2)] and I=[(1, 0),( 0, 1)] , then find lambda,mu ...

    Text Solution

    |

  2. Find the value of x for which the matrix product [(2, 0, 7),( 0, ...

    Text Solution

    |

  3. Solve the matrix equations: [(0, 2, 1)][(1, 2, 0),( 2 ,0 ,1 ),(1 ,0...

    Text Solution

    |

  4. Solve the matrix equations: [(x,-5,-1)][(1, 0, 2) ,( 0,2 ,1),( 2, 0,...

    Text Solution

    |

  5. If A=[(1, 2, 0 ),(3,-4, 5),( 0,-1, 3)] , compute A^2-4A+3I3 .

    Text Solution

    |

  6. If f(x)=x^2-2x , find f(A), where A=[(0, 1, 2),( 4 ,5, 0 ),(0, 2 ,3)...

    Text Solution

    |

  7. If f(x)=x^3+4x^2-x , find f(A) , where A=[(0 ,1, 2 ),(2,-3 ,0),( 1,-...

    Text Solution

    |

  8. If A=[(1 ,0, 2), (0, 2, 1), (2, 0, 3)] , then show that A is a root of...

    Text Solution

    |

  9. If A=[(1, 2 ,2 ),(2 ,1 ,2),( 2 ,2, 1)] , then prove that A^2-4A-5I=O ...

    Text Solution

    |

  10. If A=[(3, 2, 0),( 1, 4 ,0 ),(0 ,0 ,5)] , show that A^2-7A+10 I3=O .

    Text Solution

    |

  11. Without using the concept of inverse of a matrix, find the matrix [...

    Text Solution

    |

  12. Find the matrix A such that : [(1 ,0 ),(0 ,1)]A=[(3 ,3 ,5 ),(1, 0 ,1)]

    Text Solution

    |

  13. Find the matrix A such that : [2, 1, 3][(-1,0,-1),(-1,1 ,0 ),(0 ,1, 1...

    Text Solution

    |

  14. Find a 2xx2 matrix A such that A[(1,-2),( 1, 4)]=6I2 .

    Text Solution

    |

  15. If A=[(0, 0), (4, 0)] , find A^(16) .

    Text Solution

    |

  16. If A=[(0,-x),(x,0)] , B=[(0 ,1 ),(1 ,0)] and x^2=-1 , then show tha...

    Text Solution

    |

  17. If A=[(1, 0,-3 ),(2, 1 ,3 ),(0, 1 ,1)] , then verify that A^2+A=A(A+I...

    Text Solution

    |

  18. If A=[(3,-5),(-4, 2)] , then find A^2-5A-14 I .

    Text Solution

    |

  19. If P(x)=[cosxsinx-sinxcosx] , then show that P(x)\ P(y)=P(x+y)=P(y)\ P...

    Text Solution

    |

  20. If P=[(x,0, 0),( 0,y,0 ),(0, 0,z)] and Q=[(a,0 ,0 ),(0,b,0 ),(0, 0,c)...

    Text Solution

    |