Home
Class 12
MATHS
If A=[(1,2),(3,-1)]" and B "=[(1,3),(-1,...

If `A=[(1,2),(3,-1)]" and B "=[(1,3),(-1,1)]`, then matrix AB is a :

A

singular matrix

B

identity matrix

C

null matrix

D

non-singular matrix

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 11

    EDUCART PUBLICATION|Exercise SECTION- C|4 Videos
  • SAMPLE PAPER 11

    EDUCART PUBLICATION|Exercise SECTION- C|4 Videos
  • SAMPLE PAPER 09

    EDUCART PUBLICATION|Exercise SECTIONS-C|8 Videos
  • SAMPLE PAPER 2

    EDUCART PUBLICATION|Exercise Mathematics (Section - A) |1 Videos

Similar Questions

Explore conceptually related problems

If A=[(1,-2,1),(2,1,3)] and B=[(2,1),(3,2),(1,1)] then (AB)' is equal to

If A=[(1,-1),(-1,1)] and B=[(1,1),(1,1)], prove that AB is null matrix.

(i) if A=[{:(1,0),(0,1):}],B=[{:(0,1),(1,0):}]and C=[{:(1,0),(0,1):}], then show that A^(2)=B^(2)=C^(2)=I_(2). (ii) if A=[{:(1,0),(1,1):}],B=[{:(2,0),(1,1):}]and C=[{:(-1,2),(3,1):}], then show that A(B+C)=AB+AC. (iii) if A=[{:(1,-1),(-1,1):}]and B=[{:(1,1),(1,1):}], then show that AB is a zero matrix.

If A = [(1,2),(3,-2),(-1,0)]and B = [(1,3,2),(4,-1,3)] then find the order of AB.

If A=[(1,0),(3,-1),(-5,2)] and B=[(1,-2),(-2,2),(1,1)] , then find the matrix 'X' such that 3A + X = 5B.

If A = [(0,1),(2,3),(1,-1)]and B = [(1,2,1),(2,1,0)] , then find (AB)^(-1)

if A[{:(2,-3),(4,-1):}]and B=[{:(3,0),(-1,2):}], then find A matrix C such that 2A-B+3c is a unit matrix.

If A=[{:(3,-1),(1,-3):}]" and B"=[{:(2,1),(-1,-2):}]," then show that" : (AB)^(-1)=B^(-1)A^(-1)

If A = [{:(1),(-4),(3):}] and B = [-1, 2, 1], then (AB)' is equal to

If A=[{:(1,-1),(2,3):}] and B=[{:(2,3),(-1,-2):}] then which of the following is/are correct ? 1. AB (A^(-1)B^(-1)) is a unit matrix. 2. (AB)^(-1)=A^(-1)B^(-1) Select the correct answer using the codes given below :

EDUCART PUBLICATION-SAMPLE PAPER 11 -SECTION- B
  1. If sin (cot^(-1)(1-x))=cos(tan^(-1)(-x)), then x is

    Text Solution

    |

  2. If A=[(1,-1),(-1,1)] and A^(2)=lamdaA, then the value of lamda is :

    Text Solution

    |

  3. If A=[(1,2),(3,-1)]" and B "=[(1,3),(-1,1)], then matrix AB is a :

    Text Solution

    |

  4. If y=sin t -cos t and x=sin t+cost, then (dy)/(dx) at t=(pi)/(6) is :

    Text Solution

    |

  5. The interval in which the function f(x)=2x^(3)-9x^(2)+12x-15 is increa...

    Text Solution

    |

  6. The equation of tangent to the curve 16x^(2)+9y^(2)=145 at the (2,y(1)...

    Text Solution

    |

  7. If x = cos theta and y = sin^(3) theta, then |(yd ^(2)y)/(dx ^(2))+((d...

    Text Solution

    |

  8. If the system of linear equations x-y=0,2x+3y+4z=17 and y+2z=7 are wr...

    Text Solution

    |

  9. Simplify: cos theta[{:(costheta,sintheta),(-sintheta,costheta):}]+si...

    Text Solution

    |

  10. The value of sin^(-1)(sin""(2pi)/(3))+cos^(-1)(cos""(7pi)/(6)) is

    Text Solution

    |

  11. Let the relation R is a set of real numbers be defined as R={(x,y),y=3...

    Text Solution

    |

  12. Tangents to the curve y=x^(3)+3x at x=1 and x=-1 are :

    Text Solution

    |

  13. If y=sqrt(x)+(1)/(sqrt(x)), then (dy)/(dx)=

    Text Solution

    |

  14. The adjoint of matrix [(3,2),(-1,4)] is :

    Text Solution

    |

  15. The corner points of a feasible region determined by a system of linea...

    Text Solution

    |

  16. From the matrix equation AB=AC, we conclude B=C provided.

    Text Solution

    |

  17. The derivation of sqrt((1-cosx)/(1+cosx)) w.r.t. x is

    Text Solution

    |

  18. Determine the intervals in which the following functions are strictly ...

    Text Solution

    |