Question

assignment 6: problem 3
(1 point)
let

if possible, compute the following. if an answer does not exist, enter dne. if an answer is a 1 x 1 matrix, enter a number without any brackets.

note: in order to get credit for this problem all answers must be correct.
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Explanation:

Step1: Transpose matrix \(A\)

Given \(A=

$$\begin{bmatrix}4\\2\\5\end{bmatrix}$$

\), then \(A^{T}=

$$\begin{bmatrix}4&2&5\end{bmatrix}$$

\)

Step2: Compute \(A^{T}A\)

$$
LATEXBLOCK2
$$

Step3: Compute \(AA^{T}\)

$$
LATEXBLOCK3
$$

Answer:

\(A^{T}A = 45\)
\(AA^{T}=

$$\begin{bmatrix}16&8&20\\8&4&10\\20&10&25\end{bmatrix}$$

\)