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If A is a matrix of order 3 × 3, then (A2)–1 = ______. - Mathematics

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प्रश्न

If A is a matrix of order 3 × 3, then (A2)–1 = ______.

रिक्त स्थान भरें

उत्तर

If A is a matrix of order 3 × 3, then (A2)–1 = (A–1)2.

Explanation:

(A2)–1 =`(A" * "A")^-1`

= `"A"^-1 * "A"^-1`   .....(As (AB)–1 = B–1A–1)

= (A–1)2 

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अध्याय 4: Determinants - Exercise [पृष्ठ ८३]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 4 Determinants
Exercise | Q 42 | पृष्ठ ८३

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