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State whether the following is True or False : If A and B are conformable for the product AB, then (AB)T = ATBT. - Mathematics and Statistics

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प्रश्न

State whether the following is True or False :

If A and B are conformable for the product AB, then (AB)T = ATBT.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

(AB)T = BTAT False.

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अध्याय 2: Matrices - Miscellaneous Exercise 2 [पृष्ठ ८३]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 2 Matrices
Miscellaneous Exercise 2 | Q 3.07 | पृष्ठ ८३

वीडियो ट्यूटोरियलVIEW ALL [1]

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Solution:

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

AB = [  ]

|AB| =  `square`

M11 = –2  ∴ A11 = (–1)1+1 . (–2) = –2

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A–1 = `1/|A| . adj(A)`

A–1 = `square`


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