The Trace

Practice Questions

Linear Algebra › The Trace

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$\begin{align*}&\text{Determine the trace of the matrix}\&A=\begin{bmatrix}-8&-7\-3&0\end{bmatrix}\end{align*}$

and are square matrices of the same dimension.

True or false: $\textup{Tr}(A) + \textup{Tr}(B) = \textup{Tr}(A+B)$

Calculate the trace.

$\begin{bmatrix} 1&4 \ 5&-1 \end{bmatrix}$

$\begin{align*}&\text{Compute }Tr\begin{bmatrix}-10&-7\7&-15\end{bmatrix}\end{align*}$

$\begin{align*}&\text{Compute }Tr\begin{bmatrix}-7&8&-12&-19&10&0&-1&17\5&5&15&13&3&-13&-11&16\-19&0&-14&20&9&0&-1&-18\7&-19&-18&1&-17&13&13&9\-14&7&1&19&6&12&-2&-3\13&-17&-15&-13&-4&14&12&-18\-4&1&-3&6&5&-9&-3&-20\20&-14&-16&-5&-12&0&-7&19\end{bmatrix}\end{align*}$