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The rank of the matrix \( \begin{pmatrix} 1 & 1 & 1 \\ 1 & 2 & 3 \\ 1 & 4 & 9 \end{pmatrix} \) is ____ (a) 0 (b) 1(c) 2(d) 3 |
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Answer» \( \begin{vmatrix} 1 & 1 & 1 \\ 1 & 2 & 3 \\ 1 & 4 & 9 \end{vmatrix} \) = 1(18 -12) - 1(9 - 3) + 1(4 - 2) = 6 - 6 + 2 = 2 \(\ne\) 0 So rank is 3 |
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