Home
Class 12
MATHS
Consider the matrices A=[4 6-1 3 0 2 1-...

Consider the matrices `A=[4 6-1 3 0 2 1-2 5],B=[2 4 0 1-1 2],C=[3 1 2]dot` Which of the following are defined? `(A B)^t C` (b) `C^t C(A B)^T` `C^T A B` (d) `A^T A B B^T C`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If A^T=[3 4-1 2 0 1]a n dB=[-1 2 1 1 2 3], find A^T-B^T

If A^T=[3 4-1 2 0 1] and B=[-1 2 1 1 2 3], then find A^T- B^T

Consider three square matrices A, B and C of order 3 such that A^(T)=A-2B and B^(T)=B-4C , then the incorrect option is

If A=[[ 1 ,4 , 7 ] , [2 , 5 , 8 ]] and B=[[-3, 4 , 0 ],[ 4 ,-2 , -1 ]] then show that ( A + B )^T = A^T + B^T

Let A=[[1,-1, 0],[ 2, 1, 3],[ 1, 2, 1]] a n d B=[[1 ,2, 3],[ 2, 1, 3],[ 0, 1, 1]]dot Find A^T ,B^T and verify that (i) (A+B)^T=A^T+B^T (ii) (A B)^T=B^T A^T (iii) (2A)^T=2A^T

If the matrices A = [{:(2,1,3),(4,1,0):}] and B = [{:(1,-1),(0,2),(5,0):}] , then (AB)^T will be

If A is an invertible matrix, then which of the following is not true (A^2)^-1=(A^(-1))^2 (b) |A^(-1)|=|A|^(-1) (c) (A^T)^(-1)=(A^(-1))^T (d) |A|!=0

If A=[-1 2 3] and B=[-2 -1 -4] , verify that (A B)^T=B^T A^T

If A and B are square matrices of the same order then (A+B)^2=A^2+2AB+B^2 implies (A) both AB and BA are defined (B) (AB)^t=B^tA^t (C) (AB)^-1=B^-1A^-1 if |A|!=0 (D) AB=BA

Let A d+2B=[1 2 0 6-3 3-5 3 1]a n d2A-B=[2-1 5 0-1 6 0 1 2] . Then T r(B) has the value equal to 0 b. 1 c. 2 d. none

RESONANCE DPP-JEE MAINS-All Questions
  1. If y=f(x) has following graph, then match the column.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. 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

    |

  5. The number of real solutions of equation x^logx^2+x^2=3x is 2 b. 1 ...

    Text Solution

    |

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

    Text Solution

    |

  7. If the graph of the function y = f(x) is as shown : the graph of y = 1...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Show that the matrix A=[1 2 2 2 1 2 2 2 1] satisfies the equation A^2-...

    Text Solution

    |

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

    Text Solution

    |

  12. If b^(2)gt4ac then roots of equation ax^(4)+bx^(2)+x=0 are all real & ...

    Text Solution

    |

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

    Text Solution

    |

  14. If alpha,beta are the roots of the equation x^2-2x+3=0 obtain the eq...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. If (1+t a n1^0)dot(1+t a n2^0)dot(1+t a n3^0)(1+tan45^0)=2^n , then ' ...

    Text Solution

    |

  18. If f(x)+f(1-x)=2 and g(x)=f(x)-1AAx in R , then g(x) is symmetric abo...

    Text Solution

    |

  19. The statement which is not a tautology is (pharrq)[(pvecq)^^(qvecq)] b...

    Text Solution

    |

  20. A circle is inscribed in an equilateral triangle of side adot The area...

    Text Solution

    |