Question
Find the inverse for each matrix.a) $A=\left(\begin{array}{cc}\frac{\sqrt{3}}{2} & -\frac{1}{2} \\ \frac{1}{2} & \frac{\sqrt{3}}{2}\end{array}\right)$b) $B=\left(\begin{array}{cc}a & 1 \\ a+2 & \frac{3}{a}+1\end{array}\right)$
Step 1
The determinant of a 2x2 matrix is found by multiplying the elements of the main diagonal and subtracting the product of the other diagonal. For matrix A, the determinant is: \[ \text{det}(A) = \left(\frac{\sqrt{3}}{2}\right)^2 - Show more…
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