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Which of the following column operation is incorrect for the matrix A=\(\begin{bmatrix}1&2&5\\6&3&8\end{bmatrix}\) ?

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in Mathematics - Class 12 by (687k points)
Which of the following column operation is incorrect for the matrix A=\(\begin{bmatrix}1&2&5\\6&3&8\end{bmatrix}\) ?

(a) C1→3C1

(b) C2→C1+C2

(c) C2→2+2C2

(d) C2→2C1+2C2-C3

This question was addressed to me during an online interview.

My question is taken from Elementary Operation (Transformation) of a Matrix topic in division Matrices of Mathematics – Class 12

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Correct answer is (c) C2→2+2C2

To explain: The column operation C2→2+2C2  is incorrect. A non-zero number cannot be directly added to any column or row in a matrix.

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