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Chapter 4: Q14. (page 156)

State the dimensions of each matrix.
14. $[\begin{matrix} 17 & - 2 & 8 & - 9 & 6 \\ 5 & 11 & 20 & - 1 & 4 \end{matrix}]$

Short Answer

Expert verified

The dimension of the matrix $[\begin{matrix} 17 & - 2 & 8 & - 9 & 6 \\ 5 & 11 & 20 & - 1 & 4 \end{matrix}]$ is $2 \times 5$ .

Step by step solution

01

- Count the number of rows

The number of rows of the provided matrix is 2, that is, $[\begin{matrix} 17 & - 2 & 8 & - 9 & 6 \end{matrix}]$ , and $[\begin{matrix} 5 & 11 & 20 & - 1 & 4 \end{matrix}]$ .

02

– Count the number of columns

The number of columns of the provided matrix is 5, that is, $[\begin{matrix} 17 \\ 5 \end{matrix}]$ , $[\begin{matrix} - 2 \\ 11 \end{matrix}]$ , $[\begin{matrix} 8 \\ 20 \end{matrix}]$ , $[\begin{matrix} - 9 \\ - 1 \end{matrix}]$ , and $[\begin{matrix} 6 \\ 4 \end{matrix}]$ .

03

– 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 $[\begin{matrix} 17 & - 2 & 8 & - 9 & 6 \\ 5 & 11 & 20 & - 1 & 4 \end{matrix}]$ , the dimension is $2 \times 5$ .

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Most popular questions from this chapter

Solve each equation.

$[\begin{matrix} 2 x & 3 & 3 z \end{matrix}] = [\begin{matrix} 5 & 3 y & 9 \end{matrix}]$

For Exercises 36-39, use the following price list for one-day admissions to the community pool.

38. Write a matrix that represents the cost of admission before 6:00 P.M. and a matrix that represents the cost of admission after 6:00 P.M..

State the dimensions of each matrix.

4. $[\begin{matrix} 3 & 4 & 5 & 6 & 7 \end{matrix}]$

Solve each system of equations.

\begin{matrix} 3 r - 15 s + 4 t = - 57 \\ 9 r + 45 s - t = 26 \\ - 6 r + 10 s + 3 t = - 19 \end{matrix}

Solve each system of equations.

\begin{matrix} 3 a + 2 b = 27 \\ 5 a - 7 b + c = 5 \\ - 2 a + 10 b + 5 c = - 29 \end{matrix}

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