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On using elementary row operation R1 → R1 – 3R2 in the following matrix equation: [4233]=[1203][2011], we have: ______. - Mathematics

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प्रश्न

On using elementary row operation R1 → R1 – 3R2 in the following matrix equation: `[(4, 2),(3, 3)] = [(1, 2),(0, 3)] [(2, 0),(1, 1)]`, we have: ______.

विकल्प

  • `[(-5, -7),(3, 3)] = [(1, -7),(0, 3)] [(2, 0),(1, 1)]`

  • `[(-5, -7),(3, 3)] = [(1, 2),(0, 3)] [(-1, -3),(1, 1)]`

  • `[(-5, -7),(3, 3)] = [(1, 2),(1, -7)] [(2, 0),(1, 1)]`

  • `[(4, 2),(-5, -7)] = [(1, 2),(-3, -3)] [(2, 0),(1, 1)]`

MCQ
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उत्तर

On using elementary row operation R1 → R1 – 3R2 in the following matrix equation: `[(4, 2),(3, 3)] = [(1, 2),(0, 3)] [(2, 0),(1, 1)]`, we have: `[(-5, -7),(3, 3)] = [(1, -7),(0, 3)] [(2, 0),(1, 1)]`.

Explanation:

We have, `[(4, 2),(3, 3)] = [(1, 2),(0, 3)] [(2, 0),(1, 1)]`

Using elementary row transformation R1 → R1 – 3R2

`[(-5, -7),(3, 3)] = [(1, -7),(0, 3)] [(2, 0),(1, 1)]`

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अध्याय 3: Matrices - Exercise [पृष्ठ ६२]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
अध्याय 3 Matrices
Exercise | Q 67 | पृष्ठ ६२

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