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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

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

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प्रश्न

Choose the correct alternative.

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

पर्याय

  • `[(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)]`

MCQ

उत्तर

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

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पाठ 2: Matrices - Miscellaneous Exercise 2 [पृष्ठ ८२]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 2 Matrices
Miscellaneous Exercise 2 | Q 1.08 | पृष्ठ ८२

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