Q17. Perform the indicated matrix ope... [FREE SOLUTION]

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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 801 pages

ISBN: 9780078884801

Chapter 6: Q17. (page 393)

Perform the indicated matrix operations. If an operation cannot be performed, write impossible.
$鈭� 2 [\begin{matrix} 鈭� 2 & 7 \\ 6 & 鈭� 4 \\ 8 & 5 \end{matrix}]$

Short Answer

Expert verified

The result after performing the indicated matrix operations is $[\begin{matrix} 4 & 鈭� 14 \\ 鈭� 12 & 8 \\ 鈭� 16 & 鈭� 10 \end{matrix}]$ .

Step by step solution

Step 1. Write the property of scalar multiplication of matrix.

The property of scalar multiplication of matrix states that:

The scalar multiplication of matrix $A$ with a scalar $k$ is given by:

$k A = k {[a_{i j}]}_{m 脳 n} = {[k a_{i j}]}_{m 脳 n}$

That implies the scalar multiplication of the matrix with scalar can be obtained by multiplying every element of the matrix with scalar and the matrix obtained has same order as that of the matrix which is multiplied by the scalar.

Step 2. Perform the indicated matrix operations.

The result after the scalar multiplication of the given matrix is:

$\begin{matrix} 鈭� 2 [\begin{matrix} 鈭� 2 & 7 \\ 6 & 鈭� 4 \\ 8 & 5 \end{matrix}] = [\begin{matrix} 鈭� 2 (鈭� 2) & 鈭� 2 (7) \\ 鈭� 2 (6) & 鈭� 2 (鈭� 4) \\ 鈭� 2 (8) & 鈭� 2 (5) \end{matrix}] \\ = [\begin{matrix} 4 & 鈭� 14 \\ 鈭� 12 & 8 \\ 鈭� 16 & 鈭� 10 \end{matrix}] \end{matrix}$

Therefore, the result after performing the indicated matrix operations is $[\begin{matrix} 4 & 鈭� 14 \\ 鈭� 12 & 8 \\ 鈭� 16 & 鈭� 10 \end{matrix}]$ .

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91影视

Perform the indicated matrix operations. If an operation cannot be performed, write impossible.
$鈭� 2 [\begin{matrix} 鈭� 2 & 7 \\ 6 & 鈭� 4 \\ 8 & 5 \end{matrix}]$

Short Answer

Step by step solution

Step 1. Write the property of scalar multiplication of matrix.

Step 2. Perform the indicated matrix operations.

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91影视

Perform the indicated matrix operations. If an operation cannot be performed, write impossible.鈭�2[鈭�276鈭�485]

Short Answer

Step by step solution

Step 1. Write the property of scalar multiplication of matrix.

Step 2. Perform the indicated matrix operations.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Probability and Statistics

Decision Maths

Statistics

Calculus

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Perform the indicated matrix operations. If an operation cannot be performed, write impossible.
$鈭� 2 [\begin{matrix} 鈭� 2 & 7 \\ 6 & 鈭� 4 \\ 8 & 5 \end{matrix}]$