Maharashtra State BoardHSC Commerce 12th Board Exam
Advertisement Remove all ads

For each of the following matrices, find its transpose and state whether it is symmetric, skew- symmetric or neither. [251-546-1-63] - Mathematics and Statistics

Advertisement Remove all ads
Advertisement Remove all ads
Sum

For each of the following matrices, find its transpose and state whether it is symmetric, skew- symmetric or neither.

`[(2, 5, 1),(-5, 4, 6),(-1, -6, 3)]`

Advertisement Remove all ads

Solution

Let A = `[(2, 5, 1),(-5, 4, 6),(-1, -6, 3)]`

∴ AT = `[(2, -5, -1),(-5, 4, -6),(1, 6, 3)]`

∴ AT = `[(-2, 5, 1),(-5, -4, 6),(-1, -6, -3)]`

∴ A ≠ AT and A ≠ – AT
∴ A is neither symmetric nor skew – symmetric matrix.

Concept: Algebra of Matrices
  Is there an error in this question or solution?
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×