Home
Class 12
MATHS
If A=[(3,1),(-1,2)] . Show that A^2-5A+7...

If `A=[(3,1),(-1,2)]` . Show that `A^2-5A+7I=0`
Hence find `A^4` and `A^-1` .

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MAXIMUM PUBLICATION|Exercise EXAMPLE|119 Videos

  • PROBABILITY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|144 Videos

Similar Questions

Explore conceptually related problems

Let A=[[3,1],[-1,2]] Show that A^2-5A+7I=0

If A = [[3,1],[-1,2]] ,show that A^2-5A + 7I=0 Hence, find A^(-1)

If A=[[3,1],[-1,2]] then Hence show that A^2-5A+7I=0

If A=[[1,3],[-2,4]] , then show that , A^2-5A+10I=0

For the matrix A= [[1,1,1],[1,2,-3],[2,-1,3]] show that A^3-6A^2+5A+11I=0. Hence, find A^(-1)

A=[[1,2,3],[3,-2,1],[4,2,1]] Show that A^3-23A-40I=0

Show that 1+i^2+i^4+i^6=0

Consider the matrix A=[(-8,5),(2,4)] Hence find A^-1 .

If A=[[1,3],[-2,4]] Hence find A^(-1)

Consider the matrices A=[[2,3],[4,5]] Hence find A^-1

MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. If a line makes alpha,beta,gamma with x,y,z axis respectively, then pr...

    Text Solution

    |

  2. A line makes equal angles with the coordinate axis . Find the directio...

    Text Solution

    |

  3. If A=[(3,1),(-1,2)] . Show that A^2-5A+7I=0 Hence find A^4 and A^-1 ...

    Text Solution

    |

  4. If A=[[2,-3,5],[3,2,-4],[1,1,-2]] Find A^-1

    Text Solution

    |

  5. If A=[[2,-3,5],[3,2,-4],[1,1,-2]] Using it solve the system of equat...

    Text Solution

    |

  6. Find dy/dx of the following sin^2x+cos^2y=1

    Text Solution

    |

  7. Find dy/dx of y=x^x

    Text Solution

    |

  8. Find dy/dx, If x=a(t-sint) , y=a(1+cost)

    Text Solution

    |

  9. int0^(pi/2)frac(sinx)(sinx+cosx)dx

    Text Solution

    |

  10. Evaluate the following: int(-pi/2)^(pi/2)sin^7xdx

    Text Solution

    |

  11. Evaluate the following: intxsin3xdx

    Text Solution

    |

  12. Find the area bounded by the curve y= sin x with x-axis, between x=0 a...

    Text Solution

    |

  13. Two fences are made in a grass field as shown in the figure . A cow is...

    Text Solution

    |

  14. Find the equation of the plane through the intersection of the planes ...

    Text Solution

    |

  15. The Cartesian equation of two lines are given by (x+1)/7=(y+1)/-6=(z+1...

    Text Solution

    |

  16. Find the shortest distance between the lines (x+1)/7=(y+1)/-6=(z+1)/1 ...

    Text Solution

    |

  17. A bag contains 4 red and 4 black balls . Another bag contains 2red and...

    Text Solution

    |

  18. A random variable X has the following distribution function: Find k.

    Text Solution

    |

  19. A random variable X has the following distribution function: Find the...

    Text Solution

    |

  20. Find the equation of a plane which makes equal intercepts of 6 units w...

    Text Solution

    |