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- Question 2, Exercise 2.3 @math-11-nbf:sol:unit02
- 1 \\ 2 & 1 & 0\end{array}\right]$ using cofactor method.\\ ** Solution. ** The elements of \(R_1\) are ... 2 \\ 3 & 1 & 4\end{array}\right]$ using cofactor method. ** Solution. ** The elements of \(R_1\) are \(... \\ 0 & 1 & 3 i\end{array}\right]$ using cofactor method. ** Solution. ** The elements of \(R_1\) are \(... 4 \\ 0 & 2 & 3\end{array}\right]$ using cofactor method.\\ ** Solution. ** The elements of $R_1$ are $a
- Question 5, Exercise 2.3 @math-11-nbf:sol:unit02
- of the following matrices if it exists by adjoint method $\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & 1 & -1... of the following matrices if it exists by adjoint method $\left[\begin{array}{ccc}3 & -4 & 2 \\ 2 & 3 & 5 ... of the following matrices if it exists by adjoint method $\left[\begin{array}{ccc}i & 0 & 1 \\ 2 i & -1 & ... ive inverse of the matrix if it exists by adjoint method $\left[\begin{array}{ccc}3 & -i & i \\ 2 & 1 & -3
- Question 3, Exercise 2.6 @math-11-nbf:sol:unit02
- he system of linear equation by Gauss elimination method.\\ $2 x+3 y+4 z=2$\\ $2 x+y+z=5$\\ $3 x-2 y+z=-3$... he system of linear equation by Gauss elimination method.\\ $5 x-2 y+z=2$\\ $2 x+2 y+6 z=1$\\ $3 x-4 y-5 z... he system of linear equation by Gauss elimination method.\\ $2 x+z=2$\\ $2 y-z=3$\\ $x+3 y=5$\\ ** Soluti... he system of linear equation by Gauss elimination method.\\ $x+2 y+5 z=4$\\ $3 x-2 y+2 z=3$\\ $5 x-8 y-4 z
- Question 4, Exercise 2.6 @math-11-nbf:sol:unit02
- lve the system of linear equation by Gauss-Jordan method.\\ $2 x_{1}-x_{2}-x_{3}=2$\\ $3 x_{1}-4 x_{2}+3 x... lve the system of linear equation by Gauss-Jordan method.\\ $2 x_{1}-3 x_{2}+7 x_{3}=1$\\ $4 x_{1}+5 x_{2}... lve the system of linear equation by Gauss-Jordan method.\\ $x_{1}+x_{2}+x_{3}=3$\\ $2 x_{1}-3 x_{2}+2 x_{... lve the system of linear equation by Gauss-Jordan method.\\ $2 x_{1}-7 x_{2}+10 x_{3}=1$\\ $x_{1}+2 x_{2}-
- Question 6, Exercise 2.6 @math-11-nbf:sol:unit02
- the system of linear equation by matrix inversion method.FIXME\\ $5 x+3 y+z=6$\\ $2 x+y+3 z=19$\\ $x+2 y+4... the system of linear equation by matrix inversion method.\\ $x+2 y-3 z=5$\\ $2 x-3 y+2 z=1$\\ $-x+2 y-5 z=... the system of linear equation by matrix inversion method.\\ $-x+3 y-5 z=0$\\ $2 x+4 y-6 z=1$\\ $x-2 y+3 z=... the system of linear equation by matrix inversion method.\\ $\dfrac{2}{x}+\dfrac{3}{y}+\dfrac{10}{z}=4$\\
- Question 1, Review Exercise @math-11-nbf:sol:unit02
- ons can be solved by using: * (a) Inversion method * (b) Cramer's rule * %%(c)%% Gauss-Jordan method * (d) all of these \\ <btn type="link" collap
- Question 1 and 2, Exercise 4.8 @math-11-nbf:sol:unit04
- abad, Pakistan. =====Question 1===== Using the method of difference, find the sum of the series: $3+7+1... +5)$. GOOD m( =====Question 2===== Using the method of difference, find the sum of the series: $1+4+1
- Question 3 and 4, Exercise 4.8 @math-11-nbf:sol:unit04
- mabad, Pakistan. =====Question 3===== Using the method of difference, find the sum of the series: $1+4+1... +1}-3-2n) \). =====Question 4===== Using the method of difference, find the sum of the series: $1+2+4
- Question 5 and 6, Exercise 4.8 @math-11-nbf:sol:unit04
- abad, Pakistan. =====Question 5===== Using the method of difference, find the sum of the series: $3+4+6... + 2n \). GOOD =====Question 6===== Using the method of difference, find the sum of the series: $1+4+8
- Question 2, Exercise 8.1 @math-11-nbf:sol:unit08
- }+1}{2\sqrt{2}}. \end{align*} GOOD **Alternative Method (if $\cos 15^{\circ}$ is not given)** \begin{alig... = \dfrac{\sqrt{3}+1}{2\sqrt{2}}$. **Alternative Method (if $\cos 15^\circ$ is not given)** To find $\co
- Question 1, Exercise 9.1 @math-11-nbf:sol:unit09
- and minimum value $(m) = 0$. GOOD **Alternative Method:** Given: $$y=2-2 \operatorname{Cos} \theta$$ Co... m value $(m) = \dfrac{1}{6}$. GOOD **Alternative Method:** Given: $$y=\dfrac{2}{3}-\dfrac{1}{2} \operato
- Question 2, Exercise 1.4 @math-11-nbf:sol:unit01
- \sin \dfrac{\pi}{3}\right) = i. $$ **Alternative Method:** \begin{align} &\left(\cos \dfrac{\pi}{6} + i
- Question 3, Exercise 1.4 @math-11-nbf:sol:unit01
- nd $(5)$ are our required results. **Alternative Method for Part (i)** We have given \begin{align*} & \l
- Question 7, Review Exercise @math-11-nbf:sol:unit01
- ===== Question 7 ===== Solve by completing square method $2 z^{2}-11 z+16=0$. ** Solution. ** \begin{al
- Question 1, Exercise 2.2 @math-11-nbf:sol:unit02
- ac{5}{2} & 4 \end{array}\right] \] **Alternative Method:** Given \( a_{ij}=\dfrac{i+3j}{2} \). So we hav