Home
Class 12
MATHS
If A and B are tow matrices such that AB...

If A and B are tow matrices such that AB =O, can we deduce that either A or B is a zero matrix ? Illustrate by an example.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If A and B are two matrices such that AB = 0, can we deduce that either A or B is a zero matrix? Illustrate by an example.

If A and B are two matrices such that A + B and AB are both defined, then:

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

If A and B are two matrices such that AB = A and BA = B then B is equal to__

A and B be 3xx3 matrices such that AB+A+B=0 , then

If A, B are two square matrices such that AB = A and BA = B, then prove that B^(2) = B

If A and B be two matrices such that A + B and AB are both defined, show that A and B are both square matrices of the same order.

if A and B are two matrices of order 3xx3 so that AB=A and BA=B then (A+B)^7=

If A ne 0 and B ne 0 are two 2xx2 matrices such that AB = 0, then which of the following is correct ?

If A and B are square matrices of the same order such that AB = A and BA = B, then……

UNITED BOOK HOUSE-SET 13-EXERCISE
  1. Using the method of differentail find the approximate value of sqrt 0....

    Text Solution

    |

  2. A variable plane moves in such a way that the sum of the reciprocals o...

    Text Solution

    |

  3. If A and B are two independent events, prove that A^C and B are also i...

    Text Solution

    |

  4. Five cards are drawn successively with replacement from a well-shuffle...

    Text Solution

    |

  5. If sin(alpha + beta) = 4/5 and sin (alpha - beta)= 5/13, find the valu...

    Text Solution

    |

  6. If A and B are tow matrices such that AB =O, can we deduce that eithe...

    Text Solution

    |

  7. (AB)^(-1) = B^(-1)A ^(-1) where A and B are invertible matrices satisf...

    Text Solution

    |

  8. Answer the foll. Question : 2.show that |[1+a,1,1],[1,1+b,1],[1,1,1+c]...

    Text Solution

    |

  9. Evaluate:int (dx)/(sqrt (sin^3 xsin(x+alpha)

    Text Solution

    |

  10. Evaluate: int(log(logx)+1/((logx)^2))dx

    Text Solution

    |

  11. Solve:cos^2x (dy)/(dx) + y= tanx(0 le x le pi/2).

    Text Solution

    |

  12. Prove, by vector method or otherwise, that the point of intersectio...

    Text Solution

    |

  13. Find the value of lambda if three vectors veca= 2hati-hatj+hatk,vecb= ...

    Text Solution

    |

  14. A candidate is selected for interview for the three posts. For the fir...

    Text Solution

    |

  15. For a random variable X, it is given, E(x) = 10 and var(x) = 25. Find ...

    Text Solution

    |

  16. A stone is dropped into a quiet lake and waves moves in circles at a s...

    Text Solution

    |

  17. If the sum of the lengths of the hypotenuse and another side of a righ...

    Text Solution

    |

  18. Find the equations of the tangents to the ellipse 2x^2 + 3y^2 = 30, wh...

    Text Solution

    |

  19. Find the foot of the perpendicular drawn from the point (2 hati - hatj...

    Text Solution

    |

  20. Show that the equation of the plane passing through the point (1,2,3) ...

    Text Solution

    |