Log In Start studying!

Select your language

Suggested languages for you:

Americas

English (US)

Europe

Q12.

Expert-verified

Algebra 2

Found in: Page 156

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

Answers without the blur.

Just sign up for free and you're in.

Register for Free I’ll do it later

Short Answer

State the dimensions of each matrix.

$[\begin{matrix} 0 & 0 & 8 \\ 6 & 2 & 4 \\ 1 & 3 & 6 \\ 5 & 9 & 2 \end{matrix}]$

The dimension of the matrix $[\begin{matrix} 0 & 0 & 8 \\ 6 & 2 & 4 \\ 1 & 3 & 6 \\ 5 & 9 & 2 \end{matrix}]$ is $4 \times 3$ .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1 - Count the number of rows

The number of rows of the provided matrix is 4, that is, $[\begin{matrix} 0 & 0 & 8 \end{matrix}]$ , $[\begin{matrix} 6 & 2 & 4 \end{matrix}]$ , $[\begin{matrix} 1 & 3 & 6 \end{matrix}]$ , and $[\begin{matrix} 5 & 9 & 2 \end{matrix}]$ .

Step 2 – Count the number of columns

The number of columns of the provided matrix is 3, that is, $[\begin{matrix} 0 \\ 6 \\ 1 \\ 5 \end{matrix}]$ , $[\begin{matrix} 0 \\ 2 \\ 3 \\ 9 \end{matrix}]$ , and $[\begin{matrix} 8 \\ 4 \\ 6 \\ 2 \end{matrix}]$ .

Step 3 – State the dimension

The dimension of a matrix is defined as $m \times n$ , where $m$ is the number of rows and localid="1648720004630" $n$ is the number of columns.

Therefore, for the matrix localid="1648719994942" $[\begin{matrix} 0 & 0 & 8 \\ 6 & 2 & 4 \\ 1 & 3 & 6 \\ 5 & 9 & 2 \end{matrix}]$ , the dimension is localid="1648719999288" $4 \times 3$ .

Most popular questions for Math Textbooks

Graph each system of inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the given function for this region.

42.

$\begin{matrix} y \geq \frac{1}{2} x \\ y \geq - x + 3 \\ y \leq - \frac{3}{2} x + 12 \\ f (x, y) = 3 y - x \end{matrix}$

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 equation.

$[\begin{matrix} 4 x \\ 5 \end{matrix}] = [\begin{matrix} 15 + x \\ 2 y - 1 \end{matrix}]$

For exercises 30-32, use the following information. The Cookie Cutter Bakery records each type of cookie sold at three of their branch stores. Two days of sales are shown in the spreadsheets below.

31. Find the sum of the two days’ sales expressed as a matrix.

Give an example of two matrices whose sum is zero matrix.

Want to see more solutions like these?

Sign up for free to discover our expert answers

Get Started - It’s free

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Sign up for free