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Question
Find the rank of the matrix
A = `((1, -3, 4, 7),(9, 1, 2, 0))`
Solution
`((1, -3, 4, 7),(9, 1, 2, 0))`
The order of A is 2 × 4
∴ P(A) ≤ 2
Let us transform the matrix A to an echelon form
| Matrix | Elementary Transformation |
| A = `[(1, -3, 4, 7),(9, 1, 2, 0)]` | |
| `∼ [(11, 3, 4, 7),(0, 28, -34, -63)]` | `{:"R"_2 ↔ "R"_2 - 9"R"_1:}` |
The number of non-zero rows is 2
∴ P(A) = 2
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