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Calculate the value for each determinant:​

Calculate the value for each determinant:​-example-1

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Answer:

Please check the explanation.

Explanation:

  • Find the matrix determinant according to the formula:


\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc

1)


\det \begin{pmatrix}3&-1\\ \:-3&4\end{pmatrix}


=3\cdot \:4-\left(-1\right)\left(-3\right)


=9

2)


\det \begin{pmatrix}-12&-1\\ 12&5\end{pmatrix}


=\left(-12\right)\cdot \:5-\left(-1\right)\cdot \:12


=-48

3)


\det \begin{pmatrix}0&-1\\ \:\:\:17&4\end{pmatrix}


=0\cdot \:4-\left(-1\right)\cdot \:17


=17

4)


\det \begin{pmatrix}8&-1\\ \:\:\:-4&-1\end{pmatrix}


=8\left(-1\right)-\left(-1\right)\left(-4\right)


=-12

5)


\det \begin{pmatrix}2&-1\\ 2&-1\end{pmatrix}


=2\left(-1\right)-\left(-1\right)\cdot \:2


=0

6)


\det \begin{pmatrix}1&0\\ \:\:0&1\end{pmatrix}


=1\cdot \:1-0\cdot \:0


=1

User Yigal
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