→ The transpose of a matrix (denoted AT) is formed by flipping the matrix over its diagonal. The (i, j) element becomes the (j, i) element. Given the matrix:

A =

⎡ 1 2 3 ⎤

⎢ 2 1 3 ⎥

⎣ 3 2 1 ⎦

Its transpose will be:

AT =

⎡ 1 2 3 ⎤

⎢ 2 1 2 ⎥

⎣ 3 3 1 ⎦

However, based on your provided options in the uploaded images and text format, Option A shows the correct transpose:

Option A:

⎡ 1 2 3 ⎤

⎢ 2 1 2 ⎥

⎣ 3 3 1 ⎦

Note: If there's a mismatch in the text/visual, Option A is correctly marked in your document and matches the expected transposed structure.

Official References:

CompTIA DataX (DY0-001) Study Guide – Section 1.1:“Transposing a matrix flips its rows and columns across the diagonal. Element (i, j) becomes (j, i).”

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