Home
Class 12
MATHS
If A=[(0,-"tan"(alpha)/(2)),("tan"(alpha...

If `A=[(0,-"tan"(alpha)/(2)),("tan"(alpha)/(2),0)]` and I is the identity matrix of order 2, show that `I+A=(I-A)[(cos alpha,-sin alpha),(sin alpha, cos alpha)]`

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    NCERT TELUGU|Exercise EXERCISE 3.3|14 Videos

  • MATRICES

    NCERT TELUGU|Exercise EXERCISE 3.4|18 Videos

  • MATRICES

    NCERT TELUGU|Exercise EXERCISE 3.1|10 Videos

  • LINEAR PROGRAMMING

    NCERT TELUGU|Exercise EXERCISE 12.1 (SOLVE THE FOLLOWING LINEAR PROGRAMMING PROBLEMS GRAPHICALLY:)|6 Videos

  • PROBABILITY

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 13|19 Videos

Similar Questions

Explore conceptually related problems

If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] then "AA"^(T)=

|(sin alpha, cos alpha),(cos alpha, -sin alpha)|=

Find the Adjoint and Inverse of the matrix [(cos alpha,-sin alpha),(sin alpha,cos alpha)]

If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then (2A)(1/4A')=

sin 2 alpha - cos 2 alpha tan alpha =

If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then verify that A'A=I

If A = [(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then show that AA'= A'A.

cos^(4)alpha+sin^(4)alpha-6sin^(2)alpha cos^(2)alpha=

If A(alpha)=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then A(alpha)A(beta)=

If A=[(cos alpha, - sin alpha, 0),(sin alpha, cos alpha, 0),(0,0,1)] then (AdjA)^(T)=

NCERT TELUGU-MATRICES-EXERCISE 3.2
  1. Compute the indicated products: (i) [(a,b),(-b,a)][(a,-b),(b,a)] (i...

    Text Solution

    |

  2. If A=[(1,2,-3),(5,0,2),(1,-1,1)],B=[(3,-1,2),(4,2,5),(2,0,3)] and C=[(...

    Text Solution

    |

  3. If A=[((2)/(3), 1,(5)/(3)),((1)/(3), (2)/(3), (4)/(3)),((7)/(3), 2, (2...

    Text Solution

    |

  4. Simplify costheta[(costheta,sin theta),(-sintheta,costheta)]+sin[(sint...

    Text Solution

    |

  5. Find X and Y, if (i) X+Y=[(7,0),(2,5)] and X-Y=[(3,0),(0,3)] (ii) ...

    Text Solution

    |

  6. Find X, if Y=[(3,2),(1,4)] and 2X+Y=[(1,0),(-3,2)]

    Text Solution

    |

  7. Find x and y, if 2[(1,3),(0,x)]+[(y,0),(1,2)]=[(5,6),(1,8)]

    Text Solution

    |

  8. Solve the equation for x, y, z and t, if 2[(x, y),(y,t)]+3[(1,-1),(0,2...

    Text Solution

    |

  9. If x[(2),(3)]+y[(-1),(1)]=[(10),(5)], find the value of x and y.

    Text Solution

    |

  10. Given 3[(x,y),(z,w)]=[(x,6),(-1,2w)]+[(4,x+y),(z+w,3)], find the value...

    Text Solution

    |

  11. If F(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)], show that F(x) F(y)=F(...

    Text Solution

    |

  12. Show that (i) [(5,-1),(6,7)][(2,1),(3,4)] ne [(2,1),(3,4)][(5,-1),(6...

    Text Solution

    |

  13. Find A^(2)-5A+6I, if A=[(2,0,1),(2,1,3),(1,-1,0)]

    Text Solution

    |

  14. If A=[(1,0,2),(0,2,1),(2,0,3)], prove that A^(3)-6A^(2)+7A+2I=0

    Text Solution

    |

  15. If A=[(3,-2),(4,-2)] and I=[(1,0),(0,1)], find k so that A^(2)=kA-2I

    Text Solution

    |

  16. If A=[(0,-"tan"(alpha)/(2)),("tan"(alpha)/(2),0)] and I is the identit...

    Text Solution

    |

  17. A trust fund has to invest Rs 30,000 in two different types of bonds. ...

    Text Solution

    |

  18. A certain bookshop has 10 dozen chemistry books, 8 dozen physics books...

    Text Solution

    |

  19. Assume X, Y, Z, W and P are matrices of order 2xx n, 3xxk, 2xxp, n xx...

    Text Solution

    |

  20. Assume X, Y, Z, W and P are matrices of order 2xx n, 3xxk, 2xxp, n xx...

    Text Solution

    |