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Question

Choose the correct answer. Let A be a square matrix of order 3 × 3, then is equal to A. B. C. D.

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Solution

Let’s consider a determinant,

A=| a b c d e f g h i | | kA |=| ka kb kc kd ke kf kg kh ki |

The value of | kA |,

| kA |=| ka kb kc kd ke kf kg kh ki | | kA |=kkk| a b c d e f g h i | | kA |= k 3 | a b c d e f g h i | = k 3 | A |

Therefore, the correct option is (C).


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