Study Guide and Intervention (continued) - MathnMind

13-2
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Study Guide and Intervention
Introduction to Matrices
Organize Data in Matrices A matrix is a rectangular arrangement of numbers in
rows and columns. It is described by its dimensions, the number of rows and columns in
the matrix, with the number of rows as the first number. Each number in the matrix is
called an element.
Example
State the dimensions of each matrix. Then identify the position of
the circled element in each matrix.
a. [4 7 14 2]
The matrix has one row and four columns. Therefore, it is a 1-by-4 matrix. The circled
element is in the first row and the third column.
⎡2 3⎤
b. ⎢ 4 1 ⎥
⎣ 5 1⎦
The matrix has three rows and two columns. Therefore, it is a 3-by-2 matrix. The circled
element is in the third row and the second column.
Exercises
State the dimensions of each matrix. Then identify the position of the circled
element in each matrix.
⎡ 1 ⎤
1.
⎢ 5 ⎥
⎡3 2 3⎤
⎢2 ⎥
2. ⎢4 5 4⎥
3. [ 7 9 2 ]
⎣ 4 ⎦
⎣5 1 7⎦
⎡ 3 3 ⎤
4.
⎢1 4 ⎥
5.
⎡2 4 ⎤
⎢ 5 6 ⎥
⎣5 1 ⎦
6. [ 1 2 ]
⎣ 7 0⎦
⎡ 1 2 ⎤
7.
⎢ 5 5⎥
8.
⎡3 2 3 ⎤
⎢ 3 7⎥
⎣ 4 5 4⎦
9. [ 7 6 2 1 ]
⎣3 4⎦
⎡ 3 5 3 ⎤
10. ⎢1 4 2 ⎥
11.
⎡2 4 ⎤
⎣ 9 1⎦
12. [ 8 ]
⎣ 5 6 1 ⎦
© Glencoe/McGraw-Hill 787 Glencoe Algebra 1
Lesson 13-2