Home
Class 12
MATHS
If A=[(0,1,0),(-1,0,2),(0,0,1)], then sh...

If `A=[(0,1,0),(-1,0,2),(0,0,1)]`, then show that `A^3-A^2+I_3=[(2,-1,0),(1,2,-1),(0,0,1)]`

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos
  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

If A=[{:(1,-1,1),(2,-1,0),(1,0,0):}] then show that A^-1=A^2

If A=[[1,-1,1,],[2,-1,0,],[1,0,0,]] ,then show that A^2=A^-1.

If A=[{:(1,2,3),(3,-2,1),(4,2,1):}] , show that A^(3)-23A-40I=0

If A=[{:(0,1),(1,1):}]andB=[{:(0,-1),(1,0):}] , then show that (A+B)(A-B)neA^(2)-B^(2) .

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

If A=[{:(2,0,1),(2,1,3),(1,-1,0):}] , then find A^(2)-5A+6I .

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. If x cos alpha + y sin alpha = p is a tangent to the curve (x/a)^(n/...

    Text Solution

    |

  2. Prove the following: [[(b+c)^2,a^2,bc],[(c+a)^2,b^2,ca],[(a+b)^2,c^2...

    Text Solution

    |

  3. If A=[(0,1,0),(-1,0,2),(0,0,1)], then show that A^3-A^2+I3=[(2,-1,0),(...

    Text Solution

    |

  4. If "cos"^(-1)(x/a) ="cos"^-1(y/b) = theta, "prove that" x^2/a^2 -(2xy)...

    Text Solution

    |

  5. Solve the following LPP graphically: Maximize: Z=4x1+3x2 subject to x1...

    Text Solution

    |

  6. Prove by vector method that in any triangle ABC, a/sinA=b/sinB=c/sinC.

    Text Solution

    |

  7. A line makes angles alpha, beta, gamma, delta with the four main diago...

    Text Solution

    |

  8. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

    Text Solution

    |

  9. The equation of a plane passing through (1, 1, 2) and parallel to x + ...

    Text Solution

    |

  10. What is the value of int0^100[tan^(-1)x]dx ?

    Text Solution

    |

  11. What is the trigonometric function f(x) such that f''(x)+f(x)=0?

    Text Solution

    |

  12. Write whether the following statements are true or false. "sec"^(-1)...

    Text Solution

    |

  13. What is the minimum value of |[sin x ,cosx], [-cosx, 1+ sinx]|?

    Text Solution

    |

  14. What is the value of hata*hatb+hatb*hatc+hatc*hata if hata+hatb+hatc=v...

    Text Solution

    |

  15. if A is a 3xx3 matrix and |A| = 3, then write the matric represented b...

    Text Solution

    |

  16. What is the slope of the normal to the curve x^(2/3)+y^(2/3)=20 at the...

    Text Solution

    |

  17. Find the degree and the order of the differential equation (dy/dx)+1+f...

    Text Solution

    |

  18. Prove statement"tan"^2 "cos"^(-1)1/sqrt3 +"cot"^2 "sin"^-1 1/sqrt5 =6

    Text Solution

    |

  19. Let R={(m,n):2 divides m+n} on Z. Show that R is an equivalence relati...

    Text Solution

    |

  20. Find the feasible solution region of x+yle1,2x+3yle6,xge0,yge0.

    Text Solution

    |