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Question 1, Exercise 1.3 @math-11-nbf:sol:unit01
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==Question 1(i)==== Factorize the polynomial into linear functions: $z^{2}+169$. **Solution.** \begin{al... =Question 1(ii)==== Factorize the polynomial into linear functions: $2 z^{2}+18$. **Solution.** \begin{a... Question 1(iii)==== Factorize the polynomial into linear functions: $3 z^{2}+363$. **Solution.** \begi... =Question 1(iv)==== Factorize the polynomial into linear functions: $z^{2}+\dfrac{3}{25}$. **Solution.**
Question 4, Exercise 1.3 @math-11-nbf:sol:unit01
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estion 4(i)===== Solve the simultaneous system of linear equation with complex coefficients: $(1-i) z+(1+i... stion 4(ii)===== Solve the simultaneous system of linear equation with complex coefficients: $2 i z+(3-2 i... tion 4(iii)===== Solve the simultaneous system of linear equation with complex coefficients: $\dfrac{3}{i}... stion 4(iv)===== Solve the simultaneous system of linear equation with complex coefficients: $\dfrac{1}{1-
Question 1, Exercise 2.6 @math-11-nbf:sol:unit02
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uestion 1(i)===== Solve the system of homogeneous linear equation for non-trivial solution if exists\\ $ 2... estion 1(ii)===== Solve the system of homogeneous linear equation for non-trivial solution if exists\\ $2 ... stion 1(iii)===== Solve the system of homogeneous linear equation for non-trivial solution if exists\\ $x_... estion 1(iv)===== Solve the system of homogeneous linear equation for non-trivial solution if exists\\ $5
Question 3, Exercise 2.6 @math-11-nbf:sol:unit02
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an. =====Question 3(i)===== Solve the system of linear equation by Gauss elimination method.\\ $2 x+3 y+... $ =====Question 3(ii)===== Solve the system of linear equation by Gauss elimination method.\\ $5 x-2 y+... =====Question 3(iii)===== Solve the system of linear equation by Gauss elimination method.\\ $2 x+z=2$... $ =====Question 3(iv)===== Solve the system of linear equation by Gauss elimination method.\\ $x+2 y+5
Question 4, Exercise 2.6 @math-11-nbf:sol:unit02
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an. =====Question 4(i)===== Solve the system of linear equation by Gauss-Jordan method.\\ $2 x_{1}-x_{2}... =====Question 4(ii)===== Solve the system of linear equation by Gauss-Jordan method.\\ $2 x_{1}-3 x_{... =====Question 4(iii)===== Solve the system of linear equation by Gauss-Jordan method.\\ $x_{1}+x_{2}+x... f. =====Question 4(iv)===== Solve the system of linear equation by Gauss-Jordan method.\\ $2 x_{1}-7 x_{
Question 5, Exercise 2.6 @math-11-nbf:sol:unit02
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an. =====Question 5(i)===== Solve the system of linear equation by using Cramer's rule.\\ $x_{1}+x_{2}+2... . =====Question 5(ii)===== Solve the system of linear equation by using Cramer's rule.\\ $2 x_{1}+2 x_{... $$ =====Question 5(iii)===== Solve the system of linear equation by using Cramer's rule.\\ $-2 x_{2}+3 x_... =====Question 5(iv)===== Solve the system of linear equation by using Cramer's rule.\\ $2 x_{1}+x_{2}
Question 6, Exercise 2.6 @math-11-nbf:sol:unit02
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n. =====Question 6(i)===== Solve the system of linear equation by matrix inversion method.FIXME\\ $5 x+... }$$ =====Question 6(ii)===== Solve the system of linear equation by matrix inversion method.\\ $x+2 y-3 z... $$ =====Question 6(iii)===== Solve the system of linear equation by matrix inversion method.\\ $-x+3 y-5 ... lf. =====Question 6(iv)===== Solve the system of linear equation by matrix inversion method.\\ $\dfrac{2}
Question 2, Exercise 2.6 @math-11-nbf:sol:unit02
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of $\lambda$ for which the system of homogeneous linear equation may have non-trivial solution. Also solv... of $\lambda$ for which the system of homogeneous linear equation may have non-trivial solution. Also solv
Unit 01: Complex Numbers (Solutions)
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s of a complex number. * Solve the simultaneous linear equations with complex coefficients. * Factoriz
Unit 05: Polynomials
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thout dividing) when a polynomial is divided by a linear polynomial. * Define zeros of a polynomial. *
Question 1, Review Exercise @math-11-nbf:sol:unit02
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">(b): $3$</collapse> vii. System of homogeneous linear equations has non-trivial solution if: * (a)
Question 8, Review Exercise @math-11-nbf:sol:unit05
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slamabad, Pakistan. =====Question 8===== If two linear factors of the polynomial $y^{3}+6 y^{2}-y-30$ ar
Question 8, Review Exercise @math-11-nbf:sol:unit05
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lamabad, Pakistan. =====Question 8===== If two linear factors of the polynomial $y^{3}+6 y^{2}-y-30$ ar