Q52. Perform the indicated matrix ope... [FREE SOLUTION]

91影视

Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 6: Q52. (page 391)

Perform the indicated matrix operation.
$[\begin{matrix} 5 & 鈭� 6 \\ 鈭� 9 & 4 \end{matrix}] + [\begin{matrix} 2 & 鈭� 3 \\ 鈭� 4 & 2 \end{matrix}]$

Short Answer

Expert verified

The addition of the matrices is $[\begin{matrix} 5 & 鈭� 6 \\ 鈭� 9 & 4 \end{matrix}] + [\begin{matrix} 2 & 鈭� 3 \\ 鈭� 4 & 2 \end{matrix}] = [\begin{matrix} 7 & 鈭� 9 \\ 鈭� 13 & 6 \end{matrix}]$ .

Step by step solution

Step 1. Define the concept of matrix addition.

If $A$ and $B$ are two matrices of order $m 脳 n$ , then the addition of the two matrices will also yield a matrix of order $m 脳 n$ wherein each element is the sum of the corresponding elements.

Step 2. Add corresponding elements.

In order to find $[\begin{matrix} 5 & 鈭� 6 \\ 鈭� 9 & 4 \end{matrix}] + [\begin{matrix} 2 & 鈭� 3 \\ 鈭� 4 & 2 \end{matrix}]$ , add corresponding elements of both the matrices.

$[\begin{matrix} 5 & 鈭� 6 \\ 鈭� 9 & 4 \end{matrix}] + [\begin{matrix} 2 & 鈭� 3 \\ 鈭� 4 & 2 \end{matrix}] = [\begin{matrix} 5 + 2 & 鈭� 6 鈭� 3 \\ 鈭� 9 鈭� 4 & 4 + 2 \end{matrix}]$

Step 3. Simplify the matrix.

Further simplify the matrix by adding the elements.

$\begin{matrix} [\begin{matrix} 5 & 鈭� 6 \\ 鈭� 9 & 4 \end{matrix}] + [\begin{matrix} 2 & 鈭� 3 \\ 鈭� 4 & 2 \end{matrix}] = [\begin{matrix} 5 + 2 & 鈭� 6 鈭� 3 \\ 鈭� 9 鈭� 4 & 4 + 2 \end{matrix}] \\ = [\begin{matrix} 7 & 鈭� 9 \\ 鈭� 13 & 6 \end{matrix}] \end{matrix}$

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91影视

Perform the indicated matrix operation.
$[\begin{matrix} 5 & 鈭� 6 \\ 鈭� 9 & 4 \end{matrix}] + [\begin{matrix} 2 & 鈭� 3 \\ 鈭� 4 & 2 \end{matrix}]$

Short Answer

Step by step solution

Step 1. Define the concept of matrix addition.

Step 2. Add corresponding elements.

Step 3. Simplify the matrix.

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91影视

Perform the indicated matrix operation.[5鈭�6鈭�94]+[2鈭�3鈭�42]

Short Answer

Step by step solution

Step 1. Define the concept of matrix addition.

Step 2. Add corresponding elements.

Step 3. Simplify the matrix.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Decision Maths

Statistics

Calculus

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Perform the indicated matrix operation.
$[\begin{matrix} 5 & 鈭� 6 \\ 鈭� 9 & 4 \end{matrix}] + [\begin{matrix} 2 & 鈭� 3 \\ 鈭� 4 & 2 \end{matrix}]$