Home
Class 12
MATHS
If A=[[1 ,-3, 4], [7, 2 ,5],[ -2,6, 3]] ...

If `A=[[1 ,-3, 4], [7, 2 ,5],[ -2,6, 3]] a n d B=d i ag(2,3,5)` , then trace of matrix `A B^2` is `(a)74` `(b)75` `(c)97` `(d)23`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If A|(1, 4, 7),( 2, 6, 5),( 3,-1, 2)|a n dB=d i ag(1,2,5) , then trace of a matrix A B^2 is

[[1,-1],[2,3]] +X= [[3,4],[5,6]] ,where X= [[a,b],[c,d]] ,then a+c-b-d=

If A=d i ag(1-1 2) and B=d i ag(2 , 3 -1), find A+B ,3A+4Bdot

If A=[{:(4,4),(-2,6):}] and B=[{:(2,1),(3,-2):}] find the matrix D such that 3A -2B + 2D = 0

If A={1,3,5,6}a n d\ B={2,4}, find AxxB\ a n d\ BxxAdot

if A=[{:(1,2,-5),(-3,4,6):}]and B[{:(-2,3,-4),(1,2,3):}]' then find 2A+B.

If A={1,2,3},\ B={1,2,3,4},\ C={4,5,6},\ f i n d \ : Axx(B∩C)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Match the column Column-I Column-II a. If ||x-1|-2|geq3, then x in ...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. If A=[[1 ,-3, 4], [7, 2 ,5],[ -2,6, 3]] a n d B=d i ag(2,3,5) , then t...

    Text Solution

    |

  4. If y=f(x) has following graph, then match the column.

    Text Solution

    |

  5. If (log)a b=2,(log)b c=2a n dlog3c=(log)3a+3,t h e n(a+b+c) is equal t...

    Text Solution

    |

  6. Consider the matrices A=[(4,6,-1),(3,0,2),(1,-2,5)], B=[(2,4),(0,1),(...

    Text Solution

    |

  7. If A is domain of f(x)=lntan^(-1)((x^3-6x^2+11 x-6)(x)(e^x-5) and B is...

    Text Solution

    |

  8. The number of real solutions of equation x^(log(x)2)+x^(2)=3x is

    Text Solution

    |

  9. Comprehension (Q. 5 & 6) Let A B be any chord of the circle x^2+y^2-2x...

    Text Solution

    |

  10. If the graph of the function y = f(x) is as shown : the graph of ...

    Text Solution

    |

  11. The graph of y=|f(x)| is as shown in the following figure Fig Graph of...

    Text Solution

    |

  12. The quadratic equation, a (x -b)(x-c) + b (x-c)(x-a) + c (x-a) (x-b)=0...

    Text Solution

    |

  13. Show that the matrix A=[[1,2,2],[2,1,2],[2,2,1]] satisfies the equatio...

    Text Solution

    |

  14. If x^2-(a-3)x+a=0 has atleast one positive root then 'a' belong to

    Text Solution

    |

  15. If b^(2)ge4ac for the equation ax^(4)+bx^(2)+c=0 then all the roots of...

    Text Solution

    |

  16. If cos e c^(-1)(cos e cx)a n dcos e c(cos e c^(-1)x) are equal functio...

    Text Solution

    |

  17. If alpha, beta are the roots of the equation x^(2) - 2x + 3 = 0. Then ...

    Text Solution

    |

  18. Let f(x)=3x^2-7x+c , where c is a variable coefficient and x >7/6 . Th...

    Text Solution

    |

  19. The function f(x)=(tan^(-1)x)^3-(cot^(-1)x)^2+tan^(-1)x+2 is (a)decr...

    Text Solution

    |

  20. If (1+t a n1^0). (1+t a n2^0) .(1+t a n3^0)......(1+tan45^0)=2^n , the...

    Text Solution

    |