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

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)]

#### Solution

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

Concept: Inverse of Matrix
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