====== 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 >]]