Home
Class 12
MATHS
Given a matrix A=[a b c b c a c a b],w h...

Given a matrix `A=[a b c b c a c a b],w h e r ea ,b ,c` are real positive numbers `a b c=1a n dA^T A=I ,` then find the value of `a^3+b^3+c^3dot`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    FIITJEE|Exercise COMPREHENSIONS|8 Videos

  • MATRICES

    FIITJEE|Exercise MATCH THE COLUMN|4 Videos

  • MATRICES

    FIITJEE|Exercise ASSIGNMENT PROBLEM (OBJECTIVE) (Level-I)|49 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

  • PARABOLA

    FIITJEE|Exercise NUMERICAL BASED|5 Videos

Similar Questions

Explore conceptually related problems

Given a matrix A=[[a,b,cb,c,ac,a,b]], where a,b,c are real positive numbers abc=1 and A^(T)A=I, then find the value of a^(3)+b^(3)+c^(3)

If matrix A =[{:( a,b,c),(b,c,a),(c,a,b) :}] where a,b,c are real positive number ,abc =1 and A^(T) A = I then Which of the following is/are true

If a,b,c are positive real numbers such that a +b+c=18, find the maximum value of a^(2)b^(3)c^(4)

If a,b,c are positive real numbers and 2a+b+3c=1 , then the maximum value of a^(4)b^(2)c^(2) is equal to

If (log)_b a(log)_c a+(log)_a b(log)_c b+(log)_a c(log)_bc=3 (where a , b , c are different positive real numbers !=1), then find the value of a b c dot

If log_(b) a. log_(c ) a + log_(a) b. log_(c ) b + log_(a) c. log_(b) c = 3 (where a, b, c are different positive real number ne 1 ), then find the value of a b c.

If log_b a log_c a+log_a blog_c b+log_a clog_b c=3(where a,b,c are different positive real number !=1) then find the value of abc

If a, b, c are positive and a + b + c = 1, then find the least value of (1)/(a)+(2)/(b)+(3)/(c)

If positive numbers a, b, c are in H.P, then minimum value of (a+b)/(2a-b)+(c+b)/(2c-b) is

FIITJEE-MATRICES -ASSIGNMENT PROBLEM (OBJECTIVE) (Level-II)
  1. A = [{:( a,b,c) ,( b,c,a),(c,a,b) :}] if trace (A)= 9 and a,b , c are ...

    Text Solution

    |

  2. If A matrix of size nxxn such that A^(2) +A+2l =0 then

    Text Solution

    |

  3. Suppose that a,b,c are real numbers such that a+b+ c =1 If the matrix...

    Text Solution

    |

  4. In a set a =( 3^(3), 7^(3) , 11 ^(3) ,15^(3) …) if 9 elements are sele...

    Text Solution

    |

  5. The value of lamda so that the matric A^(-1)lamdaI is singular where A...

    Text Solution

    |

  6. If omega!=1 is a cube root of unity, then find the value of |[1+2omega...

    Text Solution

    |

  7. If A and B are two invertible matrices of the same order, then adj (AB...

    Text Solution

    |

  8. Given a matrix A=[a b c b c a c a b],w h e r ea ,b ,c are real positiv...

    Text Solution

    |

  9. If A(alpha, beta)=[("cos" alpha,sin alpha,0),(-sin alpha,cos alpha,0),...

    Text Solution

    |

  10. Three matrices are given as A = [{:( alpha ^(2) ,4,6),(9,beta ^(4) , 7...

    Text Solution

    |

  11. Which of the following is/are true ?

    Text Solution

    |

  12. If M is the skew symmetric matrix of order nxxn then ,

    Text Solution

    |

  13. If A= [{:( alpha, beta ),( 0,alpha ) :}] is then n^(th ) root of I2 ...

    Text Solution

    |

  14. If matrix A =[{:( a,b,c),(b,c,a),(c,a,b) :}] where a,b,c are real posi...

    Text Solution

    |

  15. Suppose that a,b,c are real numbers such that a+b+c =1 , if the matrix...

    Text Solution

    |

  16. If A=[{:(1,0,0),(1,0,1),(0,1,0):}], then

    Text Solution

    |

  17. If A=[a(i j)] is a square matrix such that a(i j)=i^2-j^2 , then wr...

    Text Solution

    |