Home
Class 12
MATHS
Construct a 2xx3 matrix whose elements a...

Construct a `2xx3` matrix whose elements are given by
`a_(ij)=(1)/(2)(i-2j)^(2).`

Text Solution

AI Generated Solution

To construct a \(2 \times 3\) matrix whose elements are given by the formula \(a_{ij} = \frac{1}{2}(i - 2j)^2\), we will follow these steps: ### Step-by-Step Solution: 1. **Understand the Dimensions**: The matrix is \(2 \times 3\), meaning it has 2 rows and 3 columns. 2. **Identify the Elements**: ...
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    RS AGGARWAL|Exercise Exercise 5E|15 Videos
  • LINEAR PROGRAMMING

    RS AGGARWAL|Exercise SECTION D|6 Videos
  • METHODS OF INTEGRATION

    RS AGGARWAL|Exercise Objective Questions Ii|56 Videos

Similar Questions

Explore conceptually related problems

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

Construct a 3 xx 2 matrix whose elements ar given by a_(ij)=(1)/(2)(i-3j)

Construct a 3xx2 matrix whose elements are given by a_(ij)=(1)/(2)|i-3j|

Construct 3xx3 matrix whose elements are given by : a_(ij)=i-j

Construct 3xx3 matrix whose elements are given by : a_(ij) =i+j

Construct 3xx3 matrix whose elements are given by : a_(ij)=ixxj

construct 2xx3 matrix whose elements are given by a_(ij) =i+2j

Construct a 3xx2 matrix whose elements are given by a_(ij)=(2i-j).

Construct a 2xx2 matrix A whose elements are given by a_(ij)=2i+j

Construct 3xx3 matrix whose elements are given by : a_(ij)=2i-3j

RS AGGARWAL-MATRICES-Exercise 5F
  1. Construct a 2xx3 matrix whose elements are given by a(ij)=(1)/(2)(i-...

    Text Solution

    |

  2. Construct a 2xx3 matrix whose elements are given by a(ij)=(1)/(2)|-3...

    Text Solution

    |

  3. If [{:(x+2y,-y),(3x,4):}]=[{:(-4,3),(6,4):}], find the values of x and...

    Text Solution

    |

  4. Find the values of x and y, if 2[{:(1,3),(0,x):}]+[{:(y,0),(1,2) :}]...

    Text Solution

    |

  5. If x.[{:(2),(3):}]+y.[{:(-1),(1):}]=[{:(10),(5):}], find the values of...

    Text Solution

    |

  6. If [{:(x,3x-y),(2x+z,3y-w):}]=[{:(3,2),(4,7):}], find the values of w...

    Text Solution

    |

  7. If [{:(x,6),(-1,2w):}]+[{:(" "4,x+y),(z+w," "3):}]=3[{:(x,y),(z,w):}],...

    Text Solution

    |

  8. If A=" diag "(3" "-2" "5)" and "B=" diag "(1" "3" "-4)," find "(A+B).

    Text Solution

    |

  9. Show that costheta.[{:(costheta,sintheta),(-sintheta,costheta):}]+sint...

    Text Solution

    |

  10. If A=[{:(1,-5),(-3," "2),(4,-2):}]" and "B=[{:(3," "1),(2,-1),(-2," "3...

    Text Solution

    |

  11. If A=[{:(cosalpha,-sinalpha),(sinalpha,cosalpha):}], then find the lea...

    Text Solution

    |

  12. Find the values of x and y for which [{:(2,-3),(1," "1):}][{:(x),(y)...

    Text Solution

    |

  13. Find the values of x and y for which [{:(x,y),(3y,x):}][{:(1),(2):}]...

    Text Solution

    |

  14. If A=[{:(4,5),(1,8):}], show that (A+A') is symmetric.

    Text Solution

    |

  15. If A=[{:(2,3),(4,5):}], show that (A-A') is skew-symmetric.

    Text Solution

    |

  16. If A=[{:(2,-3),(4," "5):}]" and "B=[{:(-1,2),(0,3):}], find a matrix X...

    Text Solution

    |

  17. If A=[{:(4,2),(1,3):}]" and "B=[{:(-2,1),(3,2):}], find a matrix X suc...

    Text Solution

    |

  18. If (i) A=[cosalphasinalpha-sinalphacosalpha] , then verify that Aprime...

    Text Solution

    |

  19. If A and B are two symmetric matrix of same order, then show that (AB-...

    Text Solution

    |

  20. If f(x)=x^2-4x+1 then find f(A) when A=[[2,3] , [1,2]]

    Text Solution

    |