Home
Class 12
MATHS
If A=[{:(cosalpha,sinalpha),(-sinalpha,c...

If `A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}]` , then find the value of A'A

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU .S TEXTBOOK SOLUTIONS (Exercise (b) )|43 Videos

  • LINEAR PROGRAMMING

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (Long Answer Type Questions 6 Marks)|18 Videos

  • PROBABILITY

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE(LONG ANSWER TYPE QUESTIONS)|17 Videos

Similar Questions

Explore conceptually related problems

If A=[{:(cosalpha,-sinalpha),(sinalpha,cosalpha):}]andA+A'=I , then find the value of alpha .

If A_(alpha)=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , then prove that A_(alpha)A_(beta)=A_(alpha+beta) .

Find the value of cos 36^@ .

If A=[[0,-tan(alpha/2)],[tan(alpha/2),0]] show that (I+A) = (I-A)[[cosalpha,-sinalpha],[sinalpha,cosalpha]] where I=[[1,0],[0,1]]

Find the value of sin3^@, cos3^@

Apply Binomial Theorem to find the value of (1.01)^5

Using differential find the value of sqrt(16.2) .

If tanbeta=(n^2sinalpha cdot cosalpha)/(1-n^2sin^2alpha) then show that tan(alpha-beta)/(tanalpha)=1-n^2

int(cos2x-cos2alpha)/(cosx-cosalpha)dx

ARIHANT PUBLICATION-MATRICES -CHAPTER PRACTICE (Very Short Answer Type Questions)
  1. Solve the matrix [{:(x,-5,-1):}][{:(1,0,2),(0,2,1),(2,0,3):}][{:(x),(4...

    Text Solution

    |

  2. If A(alpha)=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}], then prove...

    Text Solution

    |

  3. If A=[{:(cosalpha,sinalpha),(-sinalpha,cosalpha):}] , then find the va...

    Text Solution

    |

  4. If [{:(2,1,3):}][{:(-1,0,-1),(-1,1,0),(0,1,1):}][{:(1),(0),(-1):}]=A ...

    Text Solution

    |

  5. Find the matrix A satisfying the equation [{:(2,1),(3,2):}].A.[{:(-3...

    Text Solution

    |

  6. If A=[{:(1,0,2),(0,2,1),(2,0,3):}], then prove that A is a root of th...

    Text Solution

    |

  7. Let A=[{:(2,3),(-1,2):}]andf(x)=x^(2)-4x+7 . Show that f(A)=O. Use thi...

    Text Solution

    |

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

    Text Solution

    |

  9. If A=[{:(2,3),(1,2):}], then prove that A^(3)-4A^(2)+A=O.

    Text Solution

    |

  10. If A=[{:(1,0),(-1,7):}], thenfind k such that A^(2)-8A+kI=O.

    Text Solution

    |

  11. If A=[{:(3,-2),(4,-2):}], then find k such that A^(2)=kA-2I .

    Text Solution

    |

  12. For the matrix A=[{:(3,1),(7,5):}] , find a and b such that A^(2)+aI...

    Text Solution

    |

  13. Given that, A=[{:(4,0),(2k,5k):}] and B=[{:(k,0),(3,-1):}] such that A...

    Text Solution

    |

  14. A factory makes three products P,Q and R .The table shows the units of...

    Text Solution

    |

  15. A manufacturer sells the products x,y and z in two markets .Annual sal...

    Text Solution

    |

  16. A trust fund has Rs. 35000 is to be invested in two different types o...

    Text Solution

    |

  17. If AB= BA for any two square matrices , then prove by mathematical in...

    Text Solution

    |

  18. If A = diag [{:(a,b,c):}] , then show that A^(n)="diag"[{:(a^(n),b...

    Text Solution

    |

  19. If A=[{:(-1,2,3),(5,7,9),(-2,1,1):}]andB=[{:(-4,1,-5),(1,2,0),(1,3,1):...

    Text Solution

    |

  20. FIND (1)/(2)(A+A')and(1)/(2)(A-A') , where A=[{:(0,a,b),(-a,0,c),(-b,...

    Text Solution

    |