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(A3)–1 = (A–1)3, where A is a square matrix and |A| ≠ 0. - Mathematics

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प्रश्न

(A3)–1 = (A–1)3, where A is a square matrix and |A| ≠ 0.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is True.

Explanation:

Since (AK)–1 = (A–1)K where K ∈ N

So, (A3)–1 = (A–1)3

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अध्याय 4: Determinants - Exercise [पृष्ठ ८४]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 4 Determinants
Exercise | Q 48 | पृष्ठ ८४

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