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

Choose the correct alternative. If a 3 x 3 matrix B has it inverse equal to B, thenB2 = _______ - Mathematics and Statistics

Advertisement Remove all ads
Advertisement Remove all ads
MCQ

Choose the correct alternative.

If a 3 x 3 matrix B has it inverse equal to B, thenB2 = _______

Options

  • `[(0, 1, 1),(0, 1, 0),(1, 0, 1)]`

  • `[(1, 1, 1),(1, 1, 1),(1, 0, 1)]`

  • `[(1, 0, 1),(0, 1, 0),(0, 0, 0)]`

  • `[(1, 0, 0),(0, 1, 0),(0, 0, 1)]`

Advertisement Remove all ads

Solution

B–1 = B
∴ B–1B = B.B
∴ B2 = I = `[(1, 0, 0),(0, 1, 0),(0, 0, 1)]`.

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

APPEARS IN

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×