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Matrices and De...

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    If the area of the triangle on the complex plane formed by the points z , z + iz is 200, then the value of 3|z| be equal to

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    Consider the following statements
    I. If any two rows or columns of a determinant are identical, then the value of the determinant is zero.
    II. If the corresponding rows and columns of a determinant are interchanged, then the value of determinant does not change.
    III. If any two rows (or columns) of a determinant are interchanged, then the value of the determinant in sign.
    Which of these correct ?

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    If I denotes the 3 × 3 identity matrix and P is a matrix obtained by rearranging the columns of I. Then,

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    If a, b and c are non- zero and different from 1, then the value of

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