====== Question 3, Exercise 2.1 ====== Solutions of Question 3 of Exercise 2.1 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 3===== Identify the diagonal matrix, scalar matrix, identity matrix, lower triangular matrix, upper triangular matrix. $$A=\begin{bmatrix} 3 & 0 & 0 \\ 0 & 1 & 0 \\ 2 & 6 & 0 \end{bmatrix}$$ $$B=\begin{bmatrix} -6 & 0 & 0 \\ 0 & -6 & 0 \\ 0 & 0 & -6 \end{bmatrix}$$ $$C=\begin{bmatrix} 1 & 0 \\ 2 & 0 \end{bmatrix}$$ $$D=\begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}$$ $$E=\begin{bmatrix} 2 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 0 \end{bmatrix}$$ $$F=\begin{bmatrix} \sqrt{3} & 1 & 2 \\ 0 & 0 & 6 \\ 0 & 0 & 1 \end{bmatrix}$$ $$G=\begin{bmatrix} 1 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{bmatrix}$$ $$H=\begin{bmatrix} 2 & 0 \\ 0 & 2 \end{bmatrix}$$ ** Solution. ** A: Lower triangular matrix\\ B: Scalar matrix; Diagonal matrix\\ C: Lower triangular matrix\\ D: Identity matrix; Scalar matrix; Diagonal matrix\\ E: Diagonal matrix\\ F: Upper triangular matrix\\ G: Diagonal matrix\\ H: Scalar matrix; Diagonal matrix\\ ====Go to ==== [[math-11-nbf:sol:unit02:ex2-1-p2|< Question 2]] [[math-11-nbf:sol:unit02:ex2-1-p4|Question 4 >]]