Answer:
Please check the explanation.
Step-by-step explanation:
- Find the matrix determinant according to the formula:
[tex]\det \begin{pmatrix}a\:&\:b\:\\ c\:&\:d\:\end{pmatrix}\:=\:ad-bc[/tex]
1)
[tex]\det \begin{pmatrix}3&-1\\ \:-3&4\end{pmatrix}[/tex]
[tex]=3\cdot \:4-\left(-1\right)\left(-3\right)[/tex]
[tex]=9[/tex]
2)
[tex]\det \begin{pmatrix}-12&-1\\ 12&5\end{pmatrix}[/tex]
[tex]=\left(-12\right)\cdot \:5-\left(-1\right)\cdot \:12[/tex]
[tex]=-48[/tex]
3)
[tex]\det \begin{pmatrix}0&-1\\ \:\:\:17&4\end{pmatrix}[/tex]
[tex]=0\cdot \:4-\left(-1\right)\cdot \:17[/tex]
[tex]=17[/tex]
4)
[tex]\det \begin{pmatrix}8&-1\\ \:\:\:-4&-1\end{pmatrix}[/tex]
[tex]=8\left(-1\right)-\left(-1\right)\left(-4\right)[/tex]
[tex]=-12[/tex]
5)
[tex]\det \begin{pmatrix}2&-1\\ 2&-1\end{pmatrix}[/tex]
[tex]=2\left(-1\right)-\left(-1\right)\cdot \:2[/tex]
[tex]=0[/tex]
6)
[tex]\det \begin{pmatrix}1&0\\ \:\:0&1\end{pmatrix}[/tex]
[tex]=1\cdot \:1-0\cdot \:0[/tex]
[tex]=1[/tex]
