Question 4, Exercise 2.2

Solutions of Question 4 of Exercise 2.2 of Unit 02: Matrices and Determinants. This is unit of A Textbook of Mathematics for Grade XI is published by Khyber Pakhtunkhwa Textbook Board (KPTB or KPTBB) Peshawar, Pakistan.

Evaluate the determinant |013121211|.

|013121211|=0(21)1(12)+3(14)=0+315=12

Evaluate the determinant |342246420|.

|342246420|=3(0+12)4(024)2(4+16)=36+9680=52

Evaluate the determinant |312654987|.

|312654987|=3(3532)1(42+36)+2(4845)=9+6+6=21

Evaluate the determinant |213110234|.

|213110234|=2(40)1(40)3(3+2)=8415=11