Home
Class 12
MATHS
If A=[a(ij)](2xx2) where a(ij)=i+j, then...

If `A=[a_(ij)]_(2xx2)` where `a_(ij)=i+j`, then A is equal to a)`[(1,1),(2,2)]` b)`[(1,2),(1,2)]` c)`[(1,2),(3,4)]` d)`[(2,3),(3,4)]`

A

`[(1,1),(2,2)]`

B

`[(1,2),(1,2)]`

C

`[(1,2),(3,4)]`

D

`[(2,3),(3,4)]`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LINEAR PROGRAMMING

    BODY BOOKS PUBLICATION|Exercise EXERCISE|2 Videos
  • PROBABILITY

    BODY BOOKS PUBLICATION|Exercise EXERCISE|8 Videos

Similar Questions

Explore conceptually related problems

Let A=[a_(ij)]_(2times3) where a_(ij=i+j . construct A.

Find a 2xx2 matrix A where a_(ij)=i+j

Consider a 2xx2 matrix A=[a_(ij)] where a_(ij)=abs(2i-3j) Write A

Construct a 3xx3 matrix A=[a_(ij)] where a_(ij)=2(i-j)

If z=(-1)/(2)+i(sqrt(3))/(2) , then 8+10z+7z^(2) is equal to a) -(1)/(2)-i(sqrt(3))/(2) b) (1)/(2)+isqrt(3)/(2) c) -(1)/(2)+i(3sqrt(3))/(2) d) (sqrt(3))/(2)i

If Delta_(1)|(a_(1)^(2)+b_(1)+c_(1),a_(1)a_(2)+b_(2)+c_(2),a_(1)a_(3)+b_(3)+c_(3)),(b_(1)b_(2)+c_(1),b_(2)^(2)+c_(2),b_(2)b_(3)+c_(3)),(c_(3)c_(1),c_(3)c_(2),c_(3)^(2))|andDelta_(2)=|(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3))| then Delta_(1) // Delta_(2) is equal to a) a_(1)b_(2)c_(3) b) a_(1)a_(2)a_(3) c) a_(3)b_(2)c_(1) d) a_(1)b_(1)c_(1) +a_(2)b_(2)c_(2)+a_(3)b_(3)c_(3)

If (1+x-3x^(2))^(10)=1+a_(1)x+a_(2)x^(2)+....+a_(20)x^(20),"then "a_(2)+a_(4)+a_(6)+...+a_(20) is equal to a) (3^(10)+1)/(2) b) (3^(9)+1)/(2) c) (3^(10)-1)/(2) d) (3^(9)-1)/(2)

If a _(1) , a _(2), a _(3),... are in AP, then the value of |{:(a _(1), a _(2) , 1), ( a _(2), a _(3),1), (a _(3), a _(4), 1):}| is equal to

Consider a 2xx2 matrix A=[a_(ij)] , where A_(ij)=(i+2j)^2/2 Write A

Consider a 2xx2 matrix A=[a_(ij)] with a_(ij)=2^i+j Construct A.

BODY BOOKS PUBLICATION-MATRICES-EXERCISE
  1. What must be the matrix X if 2X+[(1,2),(3,4)]=[(3,8),(7,2)]

    Text Solution

    |

  2. If [1" "x" "1] [(1,2,3),(0,5,1),(0,3,2)][(x),(1),(-2)]=0 then find the...

    Text Solution

    |

  3. If A=[a(ij)](2xx2) where a(ij)=i+j, then A is equal to a)[(1,1),(2,2)]...

    Text Solution

    |

  4. [(2,3),(3,4)] is a a)Symmetric matrix b)Skew-symmetric matrix c)null m...

    Text Solution

    |

  5. If A=[(3,-2),(2,5)] and B=[(7,8),(-6,3)] then A+B is equal to-

    Text Solution

    |

  6. If A=[(10,6),(-4,8)] and I2=[(1,0),(0,1)] then AI2 is equal to a)[(10...

    Text Solution

    |

  7. If A is square matrix, A', is its transpose, then 1/2(A-A') is a)a S...

    Text Solution

    |

  8. Let A and B be two symmetric matrices of same order. Then show that AB...

    Text Solution

    |

  9. A=[[1,2,2],[2,1,2],[2,2,1]] , then Find 4A and A^2

    Text Solution

    |

  10. A=[[1,2,2],[2,1,2],[2,2,1]] , then show that A^2-4A=5I3

    Text Solution

    |

  11. If A=[(cos^2alpha,cosalphasinalpha),(cosalphasinalpha,sin^2alpha)] and...

    Text Solution

    |

  12. Let A=[(0,a),(b,0)] Find A^2

    Text Solution

    |

  13. Let A=[(0,a),(b,0)] If A^4=I2 then show that ab=1.

    Text Solution

    |

  14. Of the matrices A=[(2,1,3),(4,1,0)] and B=[(1,-1),(0,2),(5,0)] Find AB...

    Text Solution

    |

  15. Let A=[[2,1,3],[4,1,0]] and B=[[1,-1],[0,2],[5,0]] Show that (AB)^T=...

    Text Solution

    |

  16. If a matrix has 5 elements, write all possible order it can have.

    Text Solution

    |

  17. Consider the matrix A=[(3,10),(2,7)] Express the matrix as A=IA.

    Text Solution

    |

  18. Consider the matrix A=[(3,10),(2,7)] Find A^-1 using elementary row tr...

    Text Solution

    |

  19. If A=[[1 , 1, 1],[ 1, 1, 1],[ 1, 1 , 1]], prove that A^n=[[3^(n-...

    Text Solution

    |

  20. If A=[(costheta,sintheta),(-sintheta,costheta)] Find A^2

    Text Solution

    |