Question

order of matrix

1. $\begin{pmatrix} 4 & 7 \\\\ 1 & 8 \\\\ 5 & 7 end{pmatrix}$
2. $\begin{pmatrix} 8 & 1 & 7 \\\\ 9 & 1 & -6 end{pmatrix}$
3. $\begin{pmatrix} 3 & 2 \\\\ 6 & 7 end{pmatrix}$
4. $\begin{pmatrix} 12 & 10 \\\\ 1 & -3 \\\\ -9 & 7 \\\\ -2 & 9 end{pmatrix}$
5. $\begin{pmatrix} 8 & 1 & -5 & 10 \\\\ -6 & 2 & 3 & 9 \\\\ 9 & 6 & 5 & -7 \\\\ -2 & 1 & 7 & 4 end{pmatrix}$
6. $\begin{pmatrix} 7 & 12 & 8 \\\\ -10 & 16 & 11 \\\\ 13 & -7 & 5 \\\\ 2 & -4 & 12 end{pmatrix}$
7. $\begin{pmatrix} 2 & -8 & 5 \\\\ -7 & 4 & 3 \\\\ 9 & 2 & 1 end{pmatrix}$
8. $\begin{pmatrix} 4 & 1 & 7 & 3 \\\\ 2 & 9 & 9 & 6 end{pmatrix}$
9. $\begin{pmatrix} 11 & -7 & -1 & 9 \\\\ 9 & 3 & 5 & 6 \\\\ 1 & 8 & -4 & 10 end{pmatrix}$
10. $\begin{pmatrix} 6 & 1 & 4 \\\\ -2 & 5 & 8 \\\\ 8 & 9 & 6 \\\\ 1 & 4 & -3 \\\\ 9 & -7 & 5 end{pmatrix}$

Explanation:

Step1: Count rows, then columns

The order of a matrix is written as $\text{number of rows} \times \text{number of columns}$.

Step2: Apply to each matrix

1. Matrix 1: 3 rows, 2 columns → $3 \times 2$
2. Matrix 2: 2 rows, 3 columns → $2 \times 3$
3. Matrix 3: 2 rows, 2 columns → $2 \times 2$
4. Matrix 4: 4 rows, 2 columns → $4 \times 2$
5. Matrix 5: 4 rows, 4 columns → $4 \times 4$
6. Matrix 6: 4 rows, 3 columns → $4 \times 3$
7. Matrix 7: 3 rows, 3 columns → $3 \times 3$
8. Matrix 8: 2 rows, 4 columns → $2 \times 4$
9. Matrix 9: 3 rows, 4 columns → $3 \times 4$
10. Matrix 10: 5 rows, 3 columns → $5 \times 3$

Answer:

1. $3 \times 2$
2. $2 \times 3$
3. $2 \times 2$
4. $4 \times 2$
5. $4 \times 4$
6. $4 \times 3$
7. $3 \times 3$
8. $2 \times 4$
9. $3 \times 4$
10. $5 \times 3$