Question

using properties of determinants prove that |5a -2a+b -2a+c | |-2b+a 5b -2b+c | |-2c+a -2c+b 3c| =12(a+b+c(ab+bc+ca)

Answer 1

Expansion of a Determinant of Order 2. | |. A a a a a. = 11. 12. 21. 22. = ⋅. −. ⋅ a a a a ... +. +. −. − xyz x y y z z. x y y z z z x xy. (. ) (. ) 1. 1. 2. Determinants. 5 ... 6. Using properties of determinants, prove that a ab ac ba b bc ca cb c. 2. 2. 2. 1. 1. 1.