How many rows and how many columns does this matrix have? What is its dimension? [−2580113−69]\left[ \begin{matrix} -2 & 5 & 8 & 0 \\ 1 & 13 & -6 & 9 \end{matrix} \right]

Ch. 5 - Systems and Matrices

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Lial 13th Edition

Ch. 5 - Systems and Matrices

문제 1

6장, 문제 1

How many rows and how many columns does this matrix have? What is its dimension?
$[\begin{matrix} - 2 & 5 & 8 & 0 \\ 1 & 13 & - 6 & 9 \end{matrix}]$

검증된 단계별 안내

Identify the number of rows in the matrix by counting how many horizontal lines of elements it has. Each row is a separate horizontal group of numbers.

Identify the number of columns in the matrix by counting how many vertical lines of elements it has. Each column is a separate vertical group of numbers.

The dimension of a matrix is written as the number of rows by the number of columns, usually in the form $m \times n$, where $m$ is the number of rows and $n$ is the number of columns.

Since the matrix is given as a $4 \times 2$ matrix, it means it has 4 rows and 2 columns.

Therefore, the dimension of the matrix is $4 \times 2$, indicating 4 rows and 2 columns.

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주요 개념

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Matrix Dimensions

The dimension of a matrix is described by the number of its rows and columns, written as 'rows × columns'. For example, a 4×2 matrix has 4 rows and 2 columns. This notation helps identify the size and shape of the matrix.

Rows in a Matrix

Rows are the horizontal lines of elements in a matrix. Counting the rows tells you how many horizontal groups of numbers the matrix contains. In a 4×2 matrix, there are 4 such horizontal lines.

Columns in a Matrix

Columns are the vertical lines of elements in a matrix. Counting the columns tells you how many vertical groups of numbers the matrix contains. In a 4×2 matrix, there are 2 such vertical lines.

How many rows and how many columns does this matrix have? What is its dimension? [−2580113−69]\(\left\)[ \(\begin{matrix}\) -2 & 5 & 8 & 0 \\ 1 & 13 & -6 & 9 \(\end{matrix}\) \(\right\)]