Home
Class 12
MATHS
Find the rank of each of the following m...

Find the rank of each of the following matrices: (i) `[{:(3,2,5),(1,1,2),(3,3,6):}]` (ii) `[{:(4,3,1,-2),(-3,-1,-2,4),(6,7,-1,2):}]`

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER -12 (UNSOLVED)

    FULL MARKS|Exercise PART-II|10 Videos

  • SAMPLE PAPER -12

    FULL MARKS|Exercise PART-I|1 Videos

  • SAMPLE PAPER -13

    FULL MARKS|Exercise PART-I (CHOOSE THE CORRECT ANSWER. ANSWER ALL THE QUESTION)|1 Videos

Similar Questions

Explore conceptually related problems

Find the rank of each of the following matrices: [{:(3,2,5),(1,1,2),(3,3,6):}]

Find the rank of the following matrices. [{:(1,-1,1),(3,-2,3),(2,-3,4):}]

Find the rank of each of the following matrix [[2,1,3],[4,-1,3],[1,4,5]]

Find the rank of the following matrices. [{:(0,1,2,1),(2,-3,0,-1),(1,1,-1,0):}]

Find the rank of each of the following matrix [[2,-1,1,2],[5,-2,3,6],[-3,1,-2,-4]]

Find the rank of the following matrices by minor method : [{:(1,-2,-1,0),(3,-6,-3,1):}]

Find the rank of the following matrices by minor method : [{:(-1," "3),(4,-7),(3,-4):}]

Find the rank of the following matrices by minor method : [{:(1,-2," "3),(2,4,-6),(5,1,-1):}]

Find the transpose of each of the following matrices: (i)[(5),((1)/(2)),(-1)] (ii) [(1,-1),(2,3)] (iii) [(-1,5,6),(sqrt(3),5,6),(2,3,-1)]

Find the rank of the following matrices by minor method: (i) [{:(2,-4),(-1,2):}] (ii) [{:(-1,3),(4,-7),(3,-4):}] (iii) [{:(1,-2,-1,0),(4,-6,-3,1):}] (iv) [{:(1,-2,3),(2,4,-6),(5,1,-1):}] (v) [{:(0,1,2,1),(0,2,4,3),(8,1,0,2):}]

FULL MARKS-SAMPLE PAPER -12 (UNSOLVED)-PART-III
  1. Find the value of cos(cos^(-1)((4)/(5))+sin^(-1)((4)/(5)))

    Text Solution

    |

  2. Determine whether the points ( -2,1) ,(0,0) and ( -4,-3) lie outside, ...

    Text Solution

    |

  3. Prove that [vecaxxvecb,vecbxxvecc,veccxxveca]=[veca,vecb,vecc]^(2)

    Text Solution

    |

  4. Find the intervals of monotonicity and local extrema of the function f...

    Text Solution

    |

  5. If u(x,y) = (x^(2) + y^(2))/sqrt(x+y), prove that x(del u)/(del x) + y...

    Text Solution

    |

  6. Four defective oranges are accidentally mixed with sixteen good ones. ...

    Text Solution

    |

  7. Show that not(p^^q)equiv((notp)vv(notq))

    Text Solution

    |

  8. Find the rank of each of the following matrices: (i) [{:(3,2,5),(1,1,2...

    Text Solution

    |

  9. In a T20 match, Chennai Super Kings needed just 6 runs to win with 1 b...

    Text Solution

    |

  10. Prove that (1+costheta+isintheta)^(n)+(1+costheta-isintheta)^(n)=2^(n+...

    Text Solution

    |

  11. Solve (x-4)(x+2)(x+3)(x-3)+8=0

    Text Solution

    |

  12. Prove thate tan^(-1)((2)/(11))+tan^(-1)((7)/(24))=tan^(-1)((1)/(2))

    Text Solution

    |

  13. A road bridge over an irrigation canal have two semi circular vents ea...

    Text Solution

    |

  14. Show that the set G={a+bsqrt2//a,binQ} is an infinite abelian group wi...

    Text Solution

    |

  15. Find the parametric form of vector equation, and Cartesian equations o...

    Text Solution

    |

  16. The mean and standard deviation of a binomial variate X are respectiv...

    Text Solution

    |

  17. Find the intervals of concavity and the points of inflection of the fu...

    Text Solution

    |

  18. For each of the functions find the f (x), f (y), and show that f (xy) ...

    Text Solution

    |

  19. (dy)/(dx)+(y)/(x)=sinx

    Text Solution

    |

  20. Evaluate: int(pi//6)^(pi//3)(dx)/(1+sqrtcotx)

    Text Solution

    |