Freeflows
Matrix Trace and Determinant
For a matrix $ \mathbf{M}, $ the trace of $ \mathbf{M} $ is defined as the sum of its diagonal elements. For example, \[\operatorname{Tr} \begin{pmatrix} a & b \\ c & d \end{pmatrix} = a + d.\]Given $ \operatorname{Tr} (\mathbf{A}) = 2 $ and $ \operatorname{Tr} (\mathbf{A}^2) = 30, $ find $ \det \mathbf{A} $.
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- $\frac{a}{b}$
- .
- 0
- =
- %
- $a^n$
- $a^{\circ}$
- $a_n$
- $\sqrt{}$
- $\sqrt[n]{}$
- $\pi$
- $\ln{}$
- $\log$
- $\theta$
- $\sin{}$
- $\cos{}$
- $\tan{}$
- $($
- $)$
- $[$
- $]$
- $\cap$
- $\cup$
- $,$
- $\infty$