Home
Class 12
MATHS
If A=[a(ij)] is a square matrix such th...

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

Text Solution

Verified by Experts

The correct Answer is:
Hence A is skew -symmetric matrix .
Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 2

    ARIHANT PRAKASHAN|Exercise SECTION -C |13 Videos

  • VERY SIMILAR TEST 2

    ARIHANT PRAKASHAN|Exercise SECTION -C |13 Videos

  • VERY SIMILAR TEST 10

    ARIHANT PRAKASHAN|Exercise SECTION C (30 MARKS)|25 Videos

  • VERY SIMILAR TEST 4

    ARIHANT PRAKASHAN|Exercise Section - C |13 Videos

Similar Questions

Explore conceptually related problems

Write a 3xx3 skew -symmetric matrix .

Express A=((1,2),(2,3) as the sum of a symmetric and a skew symmetric matrix.

Write a 2xx2 matrix which is both symmetrc and skew -symmetric .

If A and B are symmetric matrices , then prove that BA - 2AB is neither a symmetric matrix nor skew - symmetric matrix .

Prove that the square matrix [{:(5,2),(3,-6):}] can be expressed as a sum of symmetric and skew- symmetric matrices.

If A and B are symmetric matrices of the same order with AB!= BA, final whether AB-BA is symmetric or skew symmetric.

Express the matrix A=[{:(3,1),(5,-1):}] as the sum of a symmetric and a skew -symmetric matrices .

ARIHANT PRAKASHAN-VERY SIMILAR TEST 2 -SECTION -B
  1. Factorize the following. [[x,2,3],[1,x+1,3],[1,4,x]]

    Text Solution

    |

  2. If A=[{:(1,2,2),(2,1,-2),(x,2,y):}] is a matrix satisfying AA=9I, then...

    Text Solution

    |

  3. If A=[a(ij)] is a square matrix such that a(ij)=i^(2)-j^(2) , the...

    Text Solution

    |

  4. If A(x(1), y(1)), B(x(2), y(2)), and, C(x(3), y(3)) are vertices of an...

    Text Solution

    |

  5. A random variable X has following probability distribution . Fin...

    Text Solution

    |

  6. A random variable X has following probability distribution . Fin...

    Text Solution

    |

  7. A random variable X has following probability distribution . Fin...

    Text Solution

    |

  8. A random variable X has following probability distribution . Fin...

    Text Solution

    |

  9. If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t)), then show that (dy)/(d...

    Text Solution

    |

  10. Find the extreme points of the function f(x)=x^(2)sqrt(1-x^(2)). Als...

    Text Solution

    |

  11. Verify the LMVT for the function f(x)=(1)/(4x-1),1lexle4.

    Text Solution

    |

  12. Using differentials, find approximate value (255)^(1//4)

    Text Solution

    |

  13. Find the equations of all lines having slope -1, that are tangent to t...

    Text Solution

    |

  14. Evaluate int(1)/(sqrt(8+3x-x^(2)))dx.

    Text Solution

    |

  15. Evaluate int(0)^(pi//4)tan^(5)xdx.

    Text Solution

    |

  16. Find the area enclosed by the ellipse (x^(2))/(16)+(y^(2))/(9)=1.

    Text Solution

    |

  17. Form the differential equation of the family of circles having centr...

    Text Solution

    |

  18. If vec(a), vec(b) and vec(c) are three vectors such that vec(a) + vec(...

    Text Solution

    |

  19. If veca,vecb and vecc are three vectors such that |veca|=5,|vecb|=12,|...

    Text Solution

    |

  20. If veca,vecb are unit vectors such that the vector veca+3vecb is per...

    Text Solution

    |