A row vector can be transposed to get a column vector

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Consider the statement being evaluated: a row vector can be transposed to get a column vector.
Option 1: True. This is accurate in linear algebra. Transposing a row vector [a b c] converts it into a column vector (a; b; c). The transpose operation switches rows to columns, so a 1×n row becomes an n×1 column. This aligns with standard matrix rules.
Option 2: False. This would misstate the effect of taking a transpose. Since the transpose explicitly flips dimensions by switching rows to columns, claiming that a row vector cannot become a column vector contradicts the fundamental definition of the transpose. The claim ignores the dimension change and the basic property that row and column vectors are related exactly through transposition.
In summary, understanding the transpose operation clarifies that a row vector transposed yields a column vector, while denying this contradicts the core concept of transposition.

EK121 A1 Introduction to Programming (Spring 2025) Pre-class 22: MATLAB Vectors and Matrices Pre-class 22: MATLAB Vectors and Matrices

A row vector can be transposed to get a column vector

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