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- Question 2, Exercise 2.1
- ====== Question 2, Exercise 2.1 ====== Solutions of Question 2 of Exercise 2.1 of Unit 02: Matrices and Determinants. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 1(i)===== Identify the following matrix $\quad A=... rix.\\ ** Solution. ** Rectangular matrix =====Question 1(ii)===== Identify the following matrix $B=\left
- Question 4, Exercise 2.2
- ====== Question 4, Exercise 2.2 ====== Solutions of Question 4 of Exercise 2.2 of Unit 02: Matrices and Determinants. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 4(i)===== Find $A$ if \begin{align}\left[\begin{a... rac{11}{2} \end{array}\right]. \end{align*} =====Question 4(ii)===== Find $X$ if $$\begin{bmatrix}3 & 2 \\
- Question 1, Exercise 2.1
- ====== Question 1, Exercise 2.1 ====== Solutions of Question 1 of Exercise 2.1 of Unit 02: Matrices and Determinants. This ... al Textbook Board, Islamabad, Pakistan. ===== Question 1(i) ===== Find the order of the following matrix... text{Order of A}&= 2\times 3\end{align} ===== Question 1(ii) ===== Find the order of the following matri
- Question 4, Exercise 2.1
- ====== Question 4, Exercise 2.1 ====== Solutions of Question 4 of Exercise 2.1 of Unit 02: Matrices and Determinants. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 4(i)===== Find the transpose of the following mat... & \sqrt{5} & 1 \\ 0 & 6 & 9 \end{bmatrix}$$ =====Question 4(ii)===== Find the transpose of the following ma
- Question 1, Exercise 2.5
- ====== Question 1, Exercise 2.5 ====== Solutions of Question 1 of Exercise 2.5 of Unit 02: Matrices and Determinants. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 1(i)===== First reduce each of the matrix into ec... 2 \end{align*} This is reduce echelon form. =====Question 1(ii)===== First reduce each of the matrix into e
- Question 2, Exercise 2.3
- ====== Question 2, Exercise 2.3 ====== Solutions of Question 2 of Exercise 2.3 of Unit 02: Matrices and Determinants. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 2(i)===== Evaluate the determinant of the follow... \\ 2 & 1 & 0 \end{array}\right]\) is: $-17$ =====Question 2(ii)===== Evaluate the determinant of the follo
- Question 3, Exercise 2.3
- ====== Question 3, Exercise 2.3 ====== Solutions of Question 3 of Exercise 2.3 of Unit 02: Matrices and Determinants. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 3(i)===== Determine which of the matrix $\left[\b... = 0$, the matrix $A$ is a singular matrix. =====Question 3(ii)===== Determine which of the matrix $\left[\
- Question 4, Exercise 2.3
- ====== Question 4, Exercise 2.3 ====== Solutions of Question 4 of Exercise 2.3 of Unit 02: Matrices and Determinants. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 4(i)===== Find the value of $\lambda$, so that th... nd{align*} Thus, $\lambda = \dfrac{16}{23}$. =====Question 4(ii)===== Find the value of $\lambda$, so that t
- Question 5, Exercise 2.3
- ====== Question 5, Exercise 2.3 ====== Solutions of Question 5 of Exercise 2.3 of Unit 02: Matrices and Determinants. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 5(i)===== Find the multiplicative inverse of the ... 1}{9} & -\dfrac{1}{3} \end{array}\right]$$ =====Question 5(ii)===== Find the multiplicative inverse of the
- Question 2, Exercise 2.5
- ====== Question 2, Exercise 2.5 ====== Solutions of Question 2 of Exercise 2.5 of Unit 02: Matrices and Determinants. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 2(i)===== Find the rank of each of the matrix $\l... ro rows.\\ The rank of the matrix is $3$. =====Question 2(ii)===== Find the rank of each of the matrix $\
- Question 3, Exercise 2.6
- ====== Question 3, Exercise 2.6 ====== Solutions of Question 3 of Exercise 2.6 of Unit 02: Matrices and Determinants. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 3(i)===== Solve the system of linear equation by ... \frac{66}{19}, \quad z = -\frac{63}{19}$$ =====Question 3(ii)===== Solve the system of linear equation by
- Question 4, Exercise 2.6
- ====== Question 4, Exercise 2.6 ====== Solutions of Question 4 of Exercise 2.6 of Unit 02: Matrices and Determinants. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 4(i)===== Solve the system of linear equation by ... ac{26}{7}, \quad x_3 = \frac{62}{21}.}$$ =====Question 4(ii)===== Solve the system of linear equation b
- Question 5, Exercise 2.6
- ====== Question 5, Exercise 2.6 ====== Solutions of Question 5 of Exercise 2.6 of Unit 02: Matrices and Determinants. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 5(i)===== Solve the system of linear equation by ... *} Thus, the solution set is $(3, 1, 2)$. =====Question 5(ii)===== Solve the system of linear equation by
- Question 6, Exercise 2.6
- ====== Question 6, Exercise 2.6 ====== Solutions of Question 6 of Exercise 2.6 of Unit 02: Matrices and Determinants. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 6(i)===== Solve the system of linear equation by... =\frac{119}{11}, \quad z = \frac{70}{11}$$ =====Question 6(ii)===== Solve the system of linear equation by
- Question 1, Exercise 2.2
- ====== Question 1, Exercise 2.2 ====== Solutions of Question 1 of Exercise 2.2 of Unit 02: Matrices and Determinants. This ... deral Textbook Board, Islamabad, Pakistan. =====Question 1(i)===== Construct a matrix $A=\left[a_{i j}\rig... \frac{5}{2} & 4 \end{bmatrix} \end{align*} =====Question 1(ii)===== Construct a matrix $A=\left[a_{i j}\ri