Home
Class 12
MATHS
If A=(a(i j))(nxxn) and f is a function,...

If `A=(a_(i j))_(nxxn)` and `f` is a function, we define `f(A)=((f(a_(i j))))_(nxxn ')` Let `A=([pi//2-theta,theta],[-theta,pi//2-theta])` . Then

Promotional Banner

Topper's Solved these Questions

  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 Videos

  • METHODS OF DIFFERENTIATION

    CENGAGE PUBLICATION|Exercise Multiple Correct Answer Type|7 Videos

Similar Questions

Explore conceptually related problems

Prove that tan(pi//4+theta)-tan(pi//4-theta)=2tan2theta

Let f(theta)=sin theta(sin theta+ sin 30) then f(theta)

If f(x)=cos^2theta+sec^2theta, then

If tan(pi/4-theta)=1/2 then find sin2theta

Let A=sin^6theta+cos^8theta, " then "A_("max") is

Range of f(theta)=cos^2theta(cos^2theta+1)+2sin^2theta is

Range of f(theta)=cos^2theta(cos^2theta+1)+3sin^2theta is

Prove that sec(pi/4+theta)sec(pi/4-theta)=2 sec 2theta

if I=int_0^(pi/4) (sin2theta)/(sin^2theta+cos^4theta)d(theta) then I equals

int_(0)^((pi)/(2))(sin^(3)theta)/(sin^(3)theta+cos^(3)theta)d theta

CENGAGE PUBLICATION-MATRICES-All Questions
  1. Which of the following statements is/are true about square matrix A or...

    Text Solution

    |

  2. If A is an invertible matrix, then (a d jdotA^(-1)) is equal to a.[a ...

    Text Solution

    |

  3. If A=(a(i j))(nxxn) and f is a function, we define f(A)=((f(a(i j))))(...

    Text Solution

    |

  4. Suppose a1, a2, are real numbers, with a1!=0. If a1, a2,a3, are in A...

    Text Solution

    |

  5. If A,B,C are three square matrices of the same order, then A B=A C =>...

    Text Solution

    |

  6. Let A=[1 0 1 1] . Then which of following is not true? (lim)(nvecoo)1/...

    Text Solution

    |

  7. If alpha,beta,gamma are real numbers, then without expanding at any...

    Text Solution

    |

  8. The matrix A=[(-5,-8,0),(3,5,0),(1,2,-1)] is (A) idempotent mat...

    Text Solution

    |

  9. If P (E) = 0.05, what is the probability of ‘not E’?

    Text Solution

    |

  10. If A=[[a,b],[c,d]] (where b c!=0 ) satisfies the equations x^2+k=0,t h...

    Text Solution

    |

  11. If A ,B ,A+I ,A+B are idempotent matrices, then A B is equal to a.B A ...

    Text Solution

    |

  12. Given the matrix A=[[x,3,2],[1,y,4],[2,2,z]]. If xyz=60 and 8x+4y+3z=2...

    Text Solution

    |

  13. Let A +2B=[[1, 2, 0],[ 6,-3, 3],[-5, 3, 1] ] and 2A-B=[[2,-1, 5 ],[2,-...

    Text Solution

    |

  14. Which of the following in an orthogonal matrix

    Text Solution

    |

  15. If k in Ro then det{adj(k In)} is equal to (A) K^(n-1) (B) K^((n-1)...

    Text Solution

    |

  16. If A1, A2, , A(2n-1) are n skew-symmetric matrices of same order, th...

    Text Solution

    |

  17. Let A=[[1 ,2 ,3],[ 2, 0, 5],[ 0 ,2 ,1]] and B=[[0],[-3],[1]] . Which ...

    Text Solution

    |

  18. Column I, Column II If |A|=2,t h e n|2A^(-1)=(w h e r eA is of orde...

    Text Solution

    |

  19. A=[[0 ,1],[ 3 ,0]]a n d(A^8+A^6+A^4+A^2+I) V=[[0] ,[11]](w h e r e I i...

    Text Solution

    |

  20. Show that every square matrix A can be uniquely expressed as P+i Q ,wh...

    Text Solution

    |