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Civil Engg. (GATE) 2003
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Given Matrix [A] =$\begin{bmatrix}
\ 4 & 2 & 1 & 3 \
\ 6 & 3 & 4 & 7 \
\ 2 & 1 & 0 & 1 \
\end{bmatrix}$, the rank of the matrix is
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A
2
💡 Explanation:
The rank is the number of linearly independent rows. Row 1: (4, 2, 1, 3). Row 3: (2, 1, 0, 1). Row 2: (6, 3, 4, 7). Row 2 = Row 1 + Row 3 + (0, 0, 3, 3)? No. Row 2 = 1.5 * Row 1 + (0, 0, 2.5, 2.5). Row 3 is independent. Rank is 2.