Home
Class 12
MATHS
If A,B,C are matrices such that A=[x y z...

If `A,B,C` are matrices such that `A=[x y z], B=[[a,h,g] , [h, b, f] , [g, f, c]]` and `C=[[x], [y], [z]]` then find `ABC`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos

  • ALGEBRA OF VECTORS

    RD SHARMA ENGLISH|Exercise All Questions|325 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following: |[a,h,g],[h,b,f],[g,f,c]|

If A=[ x y z],B=[(a,h,g),(h,b,f),(g ,f,c)],C=[alpha beta gamma]^T then ABC is

What is the order of the product [x" "y" "z][{:(a,h,g),(h,b,f),(g,f,c):}][{:(x),(y),(z):}] ?

I A=[x,y,z], B=[(a,h,g),(h,b,f),(g,f,c)] and C=[x,y,z]^T, then ABC is (A) not defined (B) a 1xx1 matrix (C) a 3xx3 matrix (D) none of these

If x+y+z=0 prove that |[a x, b y, c z],[ c y, a z ,b x],[ b z ,c x ,a y]|=x y z|[a, b, c],[c ,a ,b],[b ,c ,a]|

Let A = { b,d,e,f }, B = { c,d,g,h} and C = {e,f,g,h} .Find : A- B

Let A = { b,d,e,f }, B = { c,d,g,h} and C = {e,f,g,h} .Find : B-C

The order of [x,y,z],[(a,h,g),(h,b,f),(g,f,c)],[(x),(y),(z)] is (A) 3x1 (B) 1xx1 (C) 1xx3 (D) 3xx3

Let A = { b,d,e,f }, B = { c,d,g,h} and C = {e,f,g,h} .Find : C -A

If x ,y ,z are different from zero and "Delta"=|[a, b-y ,c-z],[ a-x, b ,c-z],[ a-x, b-y, c]|=0, then the value of the expression a/x+b/y+c/z is a. 0 b. -1 c. 1 d. 2

RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and ...

    Text Solution

    |

  2. Let A=[(1,-2),( 3, 3),( 2,-1)] and B=[(2 ,3, -1),( 2, 4, -5)] . Find A...

    Text Solution

    |

  3. If A,B,C are matrices such that A=[x y z], B=[[a,h,g] , [h, b, f] , [g...

    Text Solution

    |

  4. If A=[1-1 2 3],B=[2 1 1 0],p rov et h a t(A+B)^2!=A^2+2A B+B^2

    Text Solution

    |

  5. If A=[1-1 2-1] , B=[a1b-1] and (A+B)^2=A^2+B^2 , then values of a and ...

    Text Solution

    |

  6. If A=[[0,1],[-1,0]], find x\ a n d \ y such that (x I+y A)^2=A

    Text Solution

    |

  7. If A=[alpha0 1 1]a n dB=[1 0 5 1], find the values of alpha for which ...

    Text Solution

    |

  8. Let A-[2-1 3 4], B-[5 2 7 4], C-[2 5 3 8] . Find a matrix D such that ...

    Text Solution

    |

  9. Find the value of x such that [1x1][1 3 2 2 5 1 15 3 2][1 2x]=0

    Text Solution

    |

  10. If A= [[1 , 0],[ − 1, 7]] and I=[[1, 0],[ 0 ,1]] , then find k so that...

    Text Solution

    |

  11. If [2-1 1 0-3 4]A=[-1-8-10 1-2-5 9 22 15],fin dAdot

    Text Solution

    |

  12. Let f(x)=x^2-5x+6 then find f(A) when A=[[2,0,1] , [2,1,3] , [1, -1, 0...

    Text Solution

    |

  13. If A=[3 1-1 2], show that A^2-5A+7I=0

    Text Solution

    |

  14. Prove the following by principle of mathematical induction If A=[[3,-4...

    Text Solution

    |

  15. If Aalpha=[[cosalpha ,sinalpha],[-sinalpha,cosalpha]] , then prove tha...

    Text Solution

    |

  16. If Aalpha=[cosalphasinalpha-sinalphacosalpha] , then prove that (Aalph...

    Text Solution

    |

  17. If a is a non-zero real or complex number. Use the principle of mat...

    Text Solution

    |

  18. If A=[(1 1 1),( 1 1 1),( 1 1 1)] , then prove that A^n=|(3^(n-1)3^(n-1...

    Text Solution

    |

  19. Under what conditions is the matrix equation A^2-B^2=(A-B)(A+B) is ...

    Text Solution

    |

  20. If A is any mxxn such that A B and B A are both defined show that B...

    Text Solution

    |