Home
Class 12
MATHS
Construct a 2xx3 "matrix"A=[a(ij)], whos...

Construct a `2xx3 "matrix"A=[a_(ij)]`, whose elements are give by `a_(ij)=[{:(i)/(j):}]`, where [.] denotes the greatest integer function.

Text Solution

AI Generated Solution

To construct the \(2 \times 3\) matrix \(A = [a_{ij}]\) where the elements are given by \(a_{ij} = \lfloor \frac{i}{j} \rfloor\) (where \(\lfloor . \rfloor\) denotes the greatest integer function), we will calculate each element of the matrix step by step. ### Step 1: Calculate \(a_{11}\) - Here, \(i = 1\) and \(j = 1\). - Calculate \(a_{11} = \lfloor \frac{1}{1} \rfloor = \lfloor 1 \rfloor = 1\). ### Step 2: Calculate \(a_{12}\) - Here, \(i = 1\) and \(j = 2\). ...
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|9 Videos
  • MATRICES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 2|19 Videos
  • MATHEMATICAL INDUCTION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos
  • MONOTONICITY MAXIMA AND MINIMA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|29 Videos

Similar Questions

Explore conceptually related problems

Construct a 2xx3 matrix A = [a_ij], whose elements are given by a_(ij) ={{:(2i)/(3j):}}

Construct a 2xx3 matrix A=[a_(i j)] whose elements are given by a_(i j)=(i-j)/(i+j) .

Construct a 2xx3 matrix A=[a_(i j)] whose elements are given by a_(i j)=(1-j)/(1+i)

Construct a 2xx3 matrix A = [a_ij], whose elements are given by a_(ij) =(i+2j)^(2)/2

Construct a 2xx2 matrix A=[a_(i j)] whose elements are given by a_(i j)=(i+j)^2 .

construct a 2xx3 matrixA=[a_(ij)] , whose elements are give by a_(ij)= ((3i+4j)/(2)) where (.) denotes the least integer function.

construct a 2xx3 matrixA=[a_(ij)] , whose elements are give by a_(ij)= ((3i+4j)/(2)) where (.) denotes the least integer function.

Construct a 2xx3 matrix A=[a_(ij)] , whose elements are given by a_(ij) =(1)/(2)|2i-3j| .

Construct 3times4 matrix A=[a_(i j)] whose elements are given by a_(i j)=i+j

Construct a 2xx2 matrix A=[a_(i j)] whose elements are given by a_(i j)=((i+2j)^2)/2 .

ARIHANT MATHS ENGLISH-MATRICES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Construct a 2xx3 "matrix"A=[a(ij)], whose elements are give by a(ij)=[...

    Text Solution

    |

  2. Let A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] and A^-1=...

    Text Solution

    |

  3. about to only mathematics

    Text Solution

    |

  4. If A=[(1,0),(1,1)] and I=[(1,0),(0,1)] then which one of the following...

    Text Solution

    |

  5. If A^(2)-A+I=O, then A^(-1) is equal to

    Text Solution

    |

  6. Let {:A=[(1,0,0),(2,1,0),(3,2,1)]:}and U1,U2,U3 be column matrices sat...

    Text Solution

    |

  7. Let A = [(1,0,0), (2,1,0), (3,2,1)], and U1, U2 and U3 are columns of ...

    Text Solution

    |

  8. If A= ((1,0,0),(2,1,0),(3,2,1)), U(1), U(2), and U(3) are column matri...

    Text Solution

    |

  9. Let A=[{:(1,2),(3,4):}]and B = [{:(a,0),(0,b):}] where a, b are natura...

    Text Solution

    |

  10. If A and B are square matrices of size nxxn such that A^2-B^2 = (A-B)(...

    Text Solution

    |

  11. Let A= [[5,5alpha,alpha],[0,alpha,5alpha],[0,0,5]] . If |A^2|...

    Text Solution

    |

  12. Let A and B be 3xx3 matrtices of real numbers, where A is symmetric, "...

    Text Solution

    |

  13. Let A be a square matrix all of whose entries are integers. Then wh...

    Text Solution

    |

  14. Let A be a 2xx2 matrix with real entries. Let I be the 2xx2 identi...

    Text Solution

    |

  15. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  16. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  17. Let A be the set of all 3xx3 symmetric matrices all of whose either 0 ...

    Text Solution

    |

  18. Let A be a 2xx2 matrix Statement -1 adj (adjA)=A Statement-2 abs(a...

    Text Solution

    |

  19. The number of 3xx3 matrices a whose entries are either 0 or 1 and for ...

    Text Solution

    |

  20. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

    Text Solution

    |

  21. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

    Text Solution

    |