Home
Class 12
MATHS
If A=[a(i j)] is a 2xx2 matrix such that...

If `A=[a_(i j)]` is a `2xx2` matrix such that `a_(i j)=i+2j` , write `A` .

Text Solution

Verified by Experts

Given: If `A=[a_(i j)]` is a `2xx2` matrix such that `a_(i j)=i+2j`
Now
`a_(11)=1+2xx1=3`,`a_(12)=1+2xx2=5`,`a_(21)=2+2.1=4` and `a_(22)=2+2xx2=6`
Hence,
`A=[(3,5),(4,6)]`
Promotional Banner

Topper's Solved these Questions

  • ADJOINTS AND INVERSE OF MATRIX

    RD SHARMA|Exercise QUESTION|1 Videos

  • ALGEBRA OF VECTORS

    RD SHARMA|Exercise Solved Examples And Exercises|331 Videos

Similar Questions

Explore conceptually related problems

If A=[a_(ij)] is a square matrix such that a_(ij)=i^(2)-j^(2), then write whether A is symmetric or skew-symmetric.

If A=[a_(i j)] is a 3xx3 scalar matrix such that a_(11)=2 , then write the value of |A| .

If A=[a_(i j)] is a 3xx3 diagonal matrix such that a_(11)=1 , a_(22)=2 and a_(33)=3 , then find |A| .

If A = [a_(ij)] is a square matrix of order 2 such that a_(ij) ={(1," when "i ne j),(0," when "i =j):} , then A^(2) is:

Let A=[a_(ij)]_(3xx3) be a matrix such that a_(ij)=(i+2j)/(2) where i,j in [1, 3] and i,j inN . If C_(ij) be a cofactor of a_(ij), then the value of a_(11)C_(21)+a_(12)C_(22)+a_(13)C_(23)+a_(21)C_(31)+a_(22)C_(32)+a_(33)C_(33)+a_(31)C_(11)+a_(32)C_(12)+a_(33)C_(13) is equal to

If A = [a_(ij)] is a square matrix of order 2 such that a_(ij)={{:(1,"when " i ne j),(0,"when "i = j):} that A^2 is :

If A=[a_(ij)] is a square matrix of even order such that a_(ij)=i^(2)-j^(2), then

A is a 2xx2 matrix, such that A={:[(a_(ij))]:} , where a_(ij)=2i-j+1 . The matrix A is

Let A=[a_(ij)] be a square matrix of order n such that {:a_(ij)={(0," if i ne j),(i,if i=j):} Statement -2 : The inverse of A is the matrix B=[b_(ij)] such that {:b_(ij)={(0," if i ne j),(1/i,if i=j):} Statement -2 : The inverse of a diagonal matrix is a scalar matrix.

Let A=([a_(i j)])_(3x3) be a matrix such that a_(11)=a_(33)=2 and all the other elements a_(i j)=1 . A^(-1)= A^2+5A-I (b) A^2-5A+5I A^2+5A-5I (d) A^2+5A+5I

RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
  1. If A=[-3 0 0-3] , find A^4 .

    Text Solution

    |

  2. If [[x,2]][[3],[ 4]]=2, find x

    Text Solution

    |

  3. If A=[a(i j)] is a 2xx2 matrix such that a(i j)=i+2j , write A .

    Text Solution

    |

  4. Find a matrix A ,ifA+[2 3-1 4]=[3-6-3 8]

    Text Solution

    |

  5. If A=[a(i j)] is a square matrix such that a(i j)=i^2-j^2 , then wr...

    Text Solution

    |

  6. For any square matrix write whether AA^T is symmetric or skew-symm...

    Text Solution

    |

  7. If A=[a(i j)] is a skew-symmetric matrix, then write the value of s...

    Text Solution

    |

  8. If A=[a(i j)] is a skew-symmetric matrix, then write the value of s...

    Text Solution

    |

  9. If A and B are symmetric matrices, then write the condition for whi...

    Text Solution

    |

  10. If B is a skew-symmetric matrix, write whether the matrix A B\ A^T ...

    Text Solution

    |

  11. If B is a symmetric matrix, write whether the matrix A B\ A^T is sy...

    Text Solution

    |

  12. If A is a skew-symmetric and n in N such that (A^n)^T=lambda\ A^n ...

    Text Solution

    |

  13. If A is a symmetric matrix and n in N , write whether A^n is symme...

    Text Solution

    |

  14. If A is a skew-symmetric matrix and n is an even natural number,...

    Text Solution

    |

  15. If A and B are symmetric matrices of the same order, write whether ...

    Text Solution

    |

  16. Write a square matrix which is both symmetric as well as skew-symme...

    Text Solution

    |

  17. Find the values of x and y , if 2[(1, 3),( 0,x)]+[(y,0),( 1, 2)]=[(5...

    Text Solution

    |

  18. If [(x+3, 4),(y,-4x+y)]=[(5 ,4),( 3 ,9)] , find x and y

    Text Solution

    |

  19. Find the value of x and y from the following: [(2x,-y),(5, 3y)]=[(6, 5...

    Text Solution

    |

  20. Find the value of y, if [(x-y,2),(x,5)]=[(2, 2 ),(3, 5)].

    Text Solution

    |