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21 February, 02:13

C) The determinant of 2 x 2 matrix A is 3. If you switch the rows and multiply the first row by 6 and the second row by 2, explain how to find determinant and provide the answer

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  1. 21 February, 05:23
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    Step-by-step explanation:

    A 2 * 2 matrix has 2 rows and 2 columns

    Let us assume that matrix A is expressed as

    a b

    c d

    The determinant of matrix A would be

    (a * d) - (b * c)

    Given that the determinant of matrix A is 3, it means that

    ad + bc = 3

    If we switch the rows, the first row becomes cd and the second row becomes ab. If we multiply the first row by 6 and the second row by 2, the matrix becomes

    6c 6d

    2a 2b

    The determinant would be

    (6c * 2b) - (2a * 6d)

    Determinant = 12bc - 12ad
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