Question

Please help! Correct answer only, please!

Consider the matrix below:


Find the inverse of matrix A: (i.e. Find A-1)

Answer 1

Answer:The answer is either C or D

Answer 2

Answer: A

Explanation:

To find the inverse of a matrix, you want to use the formula
`\frac{1}{determinant\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] } *\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right]`. All you need is to plug in the values that fit into a, b, c, d. First, you need to find the determinant of the original matrix. To find the determinant, you do ad-bc.

2*8-5*3=16-15=1. Our determinant is 1 so all we have left to solve is

`\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right]`. We take our values and plug in.

`\left[\begin{array}{ccc}8&-5\\-3&2\\\end{array}\right]` is our inverse.