Home
Class 12
MATHS
Let A and B be two square matrices satis...

Let A and B be two square matrices satisfying `A+BA^(T)=I` and `B+AB^(T)=I` and `O` is null matrix then identity the correct statement.

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 and B are square matrices of order 3 such that A^(3)=8 B^(3)=8I and det. (AB-A-2B+2I) ne 0 , then identify the correct statement(s), where I is identity matrix of order 3.

A and B are two square matrices such that A^(2)B=BA and if (AB)^(10)=A^(k)B^(10) , then k is

A and B are two non-zero square matrices such that AB = O . Then,

Suppose A and B be two ono-singular matrices such that AB= BA^(m), B^(n) = I and A^(p) = I , where I is an identity matrix. The relation between m, n and p, is

If A and B are two matrices of order 3xx3 satisfying AB=A and BA=B , then (A+B)^(5) is equal to

Let A and B be two square matrices of the same size such that AB^(T)+BA^(T)=O . If A is a skew-symmetric matrix then BA is

If A and B are two square matrices such that B=-A^(-1)BA , then (A+B)^(2) is equal to

If A and B are two matrices such that AB=B and BA=A , then A^2+B^2=

Suppose A and B be two ono-singular matrices such that AB= BA^(m), B^(n) = I and A^(p) = I , where I is an identity matrix. Which of the following orderd triplet (m, n, p) is false?

Let A and B are two non - singular matrices such that AB=BA^(2),B^(4)=I and A^(k)=I , then k can be equal to

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Sum of squares of deviation of 10 observations measured from 5 is 17 a...

    Text Solution

    |

  2. If alpha,beta in R and the quadratic equations x^2+2x+7=0a n d4x^2+al...

    Text Solution

    |

  3. Let A and B be two square matrices satisfying A+BA^(T)=I and B+AB^(T)=...

    Text Solution

    |

  4. The function f:(-oo, 1] rarr (0, e^(5)] defined as f(x)=e^(x^(3)+2) is...

    Text Solution

    |

  5. If the point P(4,-2) is one ends of the focal PQ of y^(2)=x, then the ...

    Text Solution

    |

  6. Let f(x)=(sin {pi[x-pi]})/(1+[x^(2)]), where [.] stands for the greate...

    Text Solution

    |

  7. if A[{:(5,-3),(111,336):}] and det(-3A^(2013)+A^(2014))=alpha^(alpha)+...

    Text Solution

    |

  8. If x^2+a x-3x-(a+2)=0 has real and distinct roots, then the minimum va...

    Text Solution

    |

  9. If x(1) and x(2) are solution of the equation log(5)(log(64)|x|+(25)^(...

    Text Solution

    |

  10. Tangents are drawn to the circles x^(2)+y^(2)=50 from a point 'P' lyin...

    Text Solution

    |

  11. Evaluate: int(-pi//2)^(pi//2)1/(1+e^(sin x))dx

    Text Solution

    |

  12. Show that the function f(x)=3x+ 2 is one-one and onto

    Text Solution

    |

  13. The total number of ordered pairs (x, y) satisfying |y|=cosx and y=si...

    Text Solution

    |

  14. Locus of a point that is equidistant from the lines x+y-2=0a n dx+y-1=...

    Text Solution

    |

  15. If the ellipse (x^2)/4+y^2=1 meets the ellipse x^2+(y^2)/(a^2)=1 at fo...

    Text Solution

    |

  16. If A is a square matrix such that A(a d j\ A)=[5 0 0 0 5 0 0 0 5] ,...

    Text Solution

    |

  17. A variable circle passes through the fixed point (2, 0) and touches y-...

    Text Solution

    |

  18. If f(x) is differentiable function such that int0^xf(t)dt=((f(x))^2)/2...

    Text Solution

    |

  19. If ("lim")(xvec0)({(a-n)n x-tanx}sinn x)/(x^2)-0, where n is nonzero...

    Text Solution

    |

  20. If a matrix A is such that 3\ A^3+2\ A^2+5\ A+I=0 , then A^(-1) is equ...

    Text Solution

    |