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- Question 1, Exercise 2.6
- 1(i)===== Solve the system of homogeneous linear equation for non-trivial solution if exists\\ $ 2 x_{1}-3 ... x_{3}=0\cdots (iii)\\ \end{align*} For system of equation, \begin{align*} A &= \left[ \begin{array}{ccc} 2... 1(ii)===== Solve the system of homogeneous linear equation for non-trivial solution if exists\\ $2 x_{1}-3 x... (iii)===== Solve the system of homogeneous linear equation for non-trivial solution if exists\\ $x_{1}+x_{2}
- Question 3, Exercise 2.6
- ====Question 3(i)===== Solve the system of linear equation by Gauss elimination method.\\ $2 x+3 y+4 z=2$\\ ... ===Question 3(ii)===== Solve the system of linear equation by Gauss elimination method.\\ $5 x-2 y+z=2$\\ $2... ==Question 3(iii)===== Solve the system of linear equation by Gauss elimination method.\\ $2 x+z=2$\\ $2 y-z... ===Question 3(iv)===== Solve the system of linear equation by Gauss elimination method.\\ $x+2 y+5 z=4$\\ $3
- Question 4, Exercise 2.6
- ====Question 4(i)===== Solve the system of linear equation by Gauss-Jordan method.\\ $2 x_{1}-x_{2}-x_{3}=2$... ==Question 4(ii)===== Solve the system of linear equation by Gauss-Jordan method.\\ $2 x_{1}-3 x_{2}+7 x_{3... =Question 4(iii)===== Solve the system of linear equation by Gauss-Jordan method.\\ $x_{1}+x_{2}+x_{3}=3$\\... ===Question 4(iv)===== Solve the system of linear equation by Gauss-Jordan method.\\ $2 x_{1}-7 x_{2}+10 x_{
- Question 5, Exercise 2.6
- ====Question 5(i)===== Solve the system of linear equation by using Cramer's rule.\\ $x_{1}+x_{2}+2 x_{3}=8$... ===Question 5(ii)===== Solve the system of linear equation by using Cramer's rule.\\ $2 x_{1}+2 x_{2}+x_{3}=... ==Question 5(iii)===== Solve the system of linear equation by using Cramer's rule.\\ $-2 x_{2}+3 x_{3}=1$\\ ... ===Question 5(iv)===== Solve the system of linear equation by using Cramer's rule.\\ $2 x_{1}+x_{2}+3 x_{3}=
- Question 6, Exercise 2.6
- ===Question 6(i)===== Solve the system of linear equation by matrix inversion method.FIXME\\ $5 x+3 y+z=6$\... ===Question 6(ii)===== Solve the system of linear equation by matrix inversion method.\\ $x+2 y-3 z=5$\\ $2 ... ==Question 6(iii)===== Solve the system of linear equation by matrix inversion method.\\ $-x+3 y-5 z=0$\\ $2... ===Question 6(iv)===== Solve the system of linear equation by matrix inversion method.\\ $\dfrac{2}{x}+\dfra
- Question 2, Exercise 2.6
- ambda$ for which the system of homogeneous linear equation may have non-trivial solution. Also solve the sys... ambda$ for which the system of homogeneous linear equation may have non-trivial solution. Also solve the sys... - 7x_{3} &= 0 \quad \text{(3)} \end{align*} From equation (1), we have \begin{align*} x_{1} &= 4x_{2} - 3x_
- Question 7 and 8, Exercise 2.6
- d R_2-8R_3\quad R_1-13R_3 \end{align*} From above equation we get, \begin{align*} x_1&=1\\ x_2&=1\\ x_3&=1 \
- Question 1, Review Exercise
- }=3$</collapse> x. A system of non- homogeneous equation having infinite many solutions can be solved by u