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If A = [0-1243-4] and B = [401326], then verify that: (A′)′ = A - Mathematics

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प्रश्न

If A = `[(0, -1, 2),(4, 3, -4)]` and B = `[(4, 0),(1, 3),(2, 6)]`, then verify that: (A′)′ = A

योग

उत्तर

Given that: A = `[(0, -1, 2),(4, 3, -4)]`, B = `[(4, 0),(1, 3),(2, 6)]`

A' = `[(0, -1, 2),(4, 3, -4)]_(2 xx 3)^'`

= `[(0, 4),(-1, 3),(2, -4)]_(3 xx 2)`

(A')' = `[(0, 4),(-1, 3),(2, -4)]_(3 xx 2)^'`

= `[(0, -1, 2),(4, 3, -4)]_(2 xx 3)`

= A

Hence, (A')' = A

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अध्याय 3: Matrices - Exercise [पृष्ठ ५६]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 3 Matrices
Exercise | Q 27. (i) | पृष्ठ ५६

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