# Question 9 and 10, Exercise 2.6

Solutions of Question 9 and 10 of Exercise 2.6 of Unit 02: Matrices and Determinants. This is unit of Model Textbook of Mathematics for Class XI published by National Book Foundation (NBF) as Federal Textbook Board, Islamabad, Pakistan.

## Question 9

Show that the system of equations $2 x-y+3 z=\alpha ; 3 x+y-5 z=\beta ;-5 x-5 y+21 z=\gamma$

is inconsistent if $\gamma \neq 2 \alpha-3 \beta$.

** Solution. **

## Question 10

By making use of matrix of order $2$ by $2$ and $3$ by $3$ encode and decode the following words:

a. PAKISTAN

b. ISLAMABAD

c. COLLEGE

** Solution. **

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