Is it important or a basic Determinant?

Algebra Level pending

Read the problem provided in the image and answer as per required .


The answer is 0.

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1 solution

Substracting second row from first one: 101 102 103 104 105 106 107 108 109 = 104 101 105 102 106 103 104 105 106 107 108 109 = 3 3 3 104 105 106 107 108 109 = 0 \begin{vmatrix} 101&102&103\\ 104&105&106\\ 107&108&109\\ \end{vmatrix} = \begin{vmatrix} 104-101&105-102&106-103\\ 104&105&106\\ 107&108&109\\ \end{vmatrix} = \begin{vmatrix} 3&3&3\\ 104&105&106\\ 107&108&109\\ \end{vmatrix} = 0

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