Chapter 4: Q15. (page 156)

State the dimensions of each matrix.
$[\begin{matrix} 16 & 8 \\ 10 & 5 \\ 0 & 0 \end{matrix}]$

Short Answer

Expert verified

The dimension of the matrix $[\begin{matrix} 16 & 8 \\ 10 & 5 \\ 0 & 0 \end{matrix}]$ is $3 \times 2$ .

Step by step solution

- Count the number of rows

The number of rows of the provided matrix is 3, that is, $[\begin{matrix} 16 & 8 \end{matrix}]$ , $[\begin{matrix} 10 & 5 \end{matrix}]$ , and $[\begin{matrix} 0 & 0 \end{matrix}]$ .

– Count the number of columns

The number of columns of the provided matrix is 2, that is, $[\begin{matrix} 16 \\ 10 \\ 0 \end{matrix}]$ , and $[\begin{matrix} 8 \\ 5 \\ 0 \end{matrix}]$ .

– State the dimension

The dimension of a matrix is defined as $m \times n$ , where $m$ is the number of rows and $n$ is the number of columns.

Therefore, for the matrix $[\begin{matrix} 16 & 8 \\ 10 & 5 \\ 0 & 0 \end{matrix}]$ , the dimension is $3 \times 2$ .

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State the dimensions of each matrix.
$[\begin{matrix} 16 & 8 \\ 10 & 5 \\ 0 & 0 \end{matrix}]$

Short Answer

Step by step solution

- Count the number of rows

– Count the number of columns

– State the dimension

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State the dimensions of each matrix.16810500

Short Answer

Step by step solution

- Count the number of rows

– Count the number of columns

– State the dimension

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Mechanics Maths

Decision Maths

Pure Maths

Theoretical and Mathematical Physics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

State the dimensions of each matrix.
$[\begin{matrix} 16 & 8 \\ 10 & 5 \\ 0 & 0 \end{matrix}]$