Applied Mathematics · Ch 2 — Algebra

Transpose of a Matrix

2.5.1

Transpose of a Matrix

The transpose of a matrix $A$ is the matrix obtained by interchanging its rows and columns — the first row of $A$ becomes the first column of the transpose, the second row becomes the second column, and so on. It is denoted $A'$ or $A^{T}$ .

A = [a_{ij}]_{m \times n} \implies A' = [a_{ji}]_{n \times m}

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← Previous · 2.5Q10 — Cost of a pen and a notebook are ₹12 and ₹27 respectively. On a given …Next · 2.5.1 →Example 14 — If A = 2 3 \1 -4 and B = -2 3 \5 -4 then find the matrix A'-2B.