Question
Find the multiplicative inverse of each matrix, if it exists$$\left[\begin{array}{cc}{3} & {-2} \\ {1} & {9}\end{array}\right]$$
Step 1
The determinant of a 2x2 matrix is given by the formula ad - bc, where a, b, c, and d are the elements of the matrix. In this case, a = 3, b = -2, c = 1, and d = 9. So, the determinant is (3*9) - (1*-2) = 27 + 2 = 29. Show more…
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