Find AA^T for Row Matrix

Find AAT

Given:

\[ A = \begin{bmatrix} 1 & 2 & 3 \end{bmatrix} \]

Step 1: Find AT

\[ A^T = \begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix} \]

Step 2: Multiply AAT

\[ AA^T = \begin{bmatrix} 1 & 2 & 3 \end{bmatrix} \begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix} \]

\[ AA^T = 1^2 + 2^2 + 3^2 = 1 + 4 + 9 = 14 \]

Final Answer:

\[ AA^T = \begin{bmatrix} 14 \end{bmatrix} \]

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