Question

Alguem sabe como calcular ?por favor ajude-me!
Det │ 8 √3 │
│√3 -7 │

Answer 1

Olá



$\displaystyle\mathsf{ A= \left|\begin{array}{ccc}8& \sqrt{3} \\\sqrt{3}&-7\\\end{array}\right| }\\\\\\\\\\\mathsf{det~A=\underbrace{(\mathsf{8\cdot(-7)})}_{diag.~principal}~-~\underbrace{(\mathsf{\sqrt{3} \cdot \sqrt{3} })}_{diag.~secund\'aria}}\\\\\\\\\mathsf{det ~A~=~-56~-~ (\sqrt{3} )^2}\\\\\\\text{Cancela a raiz com o expoente}\\\\\\\\\mathsf{det~A~=~-56-3}\\\\\\\\\boxed{\mathsf{det~A~=~-59}}$



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