Question

In Exercises 9 through I2, decide whether the given ma- trix is invertible. Find the inverse if it exists. In Exercise 12, the constant k is arbitrary. 9. 10. 12. 13. Prove the following facts: a. The 2 x 2 matrix is invertible if and only if ad - bc 0. Hit: Con- sider the cases a 0 anda -0 separately. b. If (2 is invertible, then d -b [The formula in part (b) is worth memorizing.]

Problem # 13

Please show all steps, formulas or any visuals necessary so that I may better understand how to approach other similar problems because I don't know how to get started, thank you.

Answer 1

a b ad- bc -ca 2 3 2(a)-6(3) -o IAI= . lnverse dees not exist to) 2. . nvesse exist. 2.

2 Ihverse exist. 9 2 -3 3 -3 「3-2/3 12) K Inverse exist