# 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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