Trace of A-transpose-A

For $A=\begin{pmatrix}1&2\\3&4\end{pmatrix}$ , compute $\operatorname{tr}(A^{\top}A)$ (the trace of $A^{\top}A$ ).

Show hints (2)+

$\operatorname{tr}(A^{\top}A)$ is the sum of the squares of all entries of $A$ .
$1^2+2^2+3^2+4^2$ .

Answer

Reveal answer →

Create a free account to see the full worked solution and track your progress.