Home
Class 12
MATHS
If A^T=[[cosx,sinx],[-sinx,cosx]],Verify...

If `A^T=[[cosx,sinx],[-sinx,cosx]]`,Verify that `A^TA=I`

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

Choose the correct answer from the bracket. If A=[(cosx,sinx),(-sinx,cosx)] and A(adjA)=k[(1,0),(0,1)] , then the value of k is a)0 b)3 c)1 d)2

If f(x)=[[cosx,-sinx,0],[sinx,cosx,0],[0,0,1]] Find f(-x)

Simplify cosx[[cosx,sinx],[-sinx,cosx]]+sinx[[sinx,-cosx],[cosx,sinx]]

If y=|(sinx,cosx,sinx),(cosx,-sinx,cosx),(x,1,1)|,"find"(dy)/(dx)

If Delta=|(sinx.cosy,sinx.siny,cosx),(cosx.cosy,cosx.siny,-siny),(-sinxsiny,sinx.cosy,0)| , then Delta is independent of a)x b)y c)constant d)None of these

Let z=sinx-cosx. Show that 1-z^2=sin2x .

If y=5cosx-3sinx, prove that (d^2y)/(dx^2)+y=0

Evaluate intdx/(2+sinx+cosx .

Evaluate int(cosx-sinx)/(1+2sinxcosx)dx .

Differentiate x^sinx+(sinx)^cosx w.r.t.x

MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. A=[[3,3,-1],[-2,-2,1],[-4,-5,2]] Find A^T

    Text Solution

    |

  2. Express the following matrices as the sum of a Symmetric and a Skew Sy...

    Text Solution

    |

  3. If A^T=[[cosx,sinx],[-sinx,cosx]],Verify that A^TA=I

    Text Solution

    |

  4. Without expanding prove that abs[[x+y,y+z,z+x],[z,x,y],[1,1,1]]=0

    Text Solution

    |

  5. Consider the following system of equations 2x-3y+5z=11, 3x+2y-4z=-5,x...

    Text Solution

    |

  6. Consider the following system of equations 2x-3y+5z=11,3x+2y-4z=-5...

    Text Solution

    |

  7. Find dy/dx of the following x^2+xy+y=100

    Text Solution

    |

  8. Find dy/dx of the following y^x=2^x

    Text Solution

    |

  9. Find dy/dx of the following x=costheta,y=sintheta at theta=pi/4

    Text Solution

    |

  10. Evaluate the integrals intx/((x+1)(x+2))dx

    Text Solution

    |

  11. Evaluate the following int0^1 xe^(x^2)dx

    Text Solution

    |

  12. Evaluate the following int-5^5 abs[x+2]dx

    Text Solution

    |

  13. Consider the parabolas y^2=4x,x^2=4y Draw a rough figure for the abov...

    Text Solution

    |

  14. Consider the parabolas y^2=4x,x^2=4y Find the point of intersection ...

    Text Solution

    |

  15. Consider the parabolas y^2=4x,x^2=4y Find the area bounded by these ...

    Text Solution

    |

  16. Find the shortest distance between the lines whose vector equations ...

    Text Solution

    |

  17. (i) If a plane meets positive x axis at a distance of 2units from th...

    Text Solution

    |

  18. A die is thrown twice let the event A be 'odd number on first throw' a...

    Text Solution

    |

  19. If f(x)=x/(x-1) ,x!=1 Find fof(x)

    Text Solution

    |

  20. if f(x)=x/(x-1) ,x!=1find the inverse of f

    Text Solution

    |