Q1.3 21E Use technology to compute the pr... [FREE SOLUTION]

91影视

Linear Algebra With Applications

Otto Bretscher

$Math Studyset 91影视 Explanations$ Math

5th Edition 路 442 pages

ISBN: 9780321796974

Chapter 1: Q1.3 21E (page 19)

Use technology to compute the product.
$[\begin{matrix} 1 & 7 & 8 & 9 \\ 1 & 2 & 9 & 1 \\ 1 & 5 & 1 & 5 \\ 1 & 6 & 4 & 8 \end{matrix}] [\begin{matrix} 1 \\ 9 \\ 5 \\ 6 \end{matrix}]$

Short Answer

Expert verified

The product of $[\begin{matrix} 1 & 7 & 8 & 9 \\ 1 & 2 & 9 & 1 \\ 1 & 5 & 1 & 5 \\ 1 & 6 & 4 & 8 \end{matrix}] [\begin{matrix} 1 \\ 9 \\ 5 \\ 6 \end{matrix}]$ is $[\begin{matrix} 158 \\ 70 \\ 81 \\ 123 \end{matrix}]$ .

Step by step solution

Consider the given matrices

IfA is an $n 脳 m$ matrix with row vectors $\overset{鈫�}{蝇_{1}}, . . . . . \overset{鈫�}{蝇_{n}} a n d \overset{鈫�}{x}$ is a vector in $R^{m}$ then,

$A \overset{鈫�}{x} = [\begin{matrix} - \overset{鈫�}{蝇_{1}} - \\ 鈰� \\ - \overset{鈫�}{蝇_{n}} - \end{matrix}] \overset{鈫�}{x} = [\begin{matrix} - \overset{鈫�}{蝇_{1}} . \overset{鈫�}{X} - \\ 鈰� \\ - \overset{鈫�}{蝇_{n}} . \overset{鈫�}{X} - \end{matrix}]$

The given expression is,

$[\begin{matrix} 1 & 7 & 8 & 9 \\ 1 & 2 & 9 & 1 \\ 1 & 5 & 1 & 5 \\ 1 & 6 & 4 & 8 \end{matrix}] [\begin{matrix} 1 \\ 9 \\ 5 \\ 6 \end{matrix}]$

Here A is $[\begin{matrix} 1 & 7 & 8 & 9 \\ 1 & 2 & 9 & 1 \\ 1 & 5 & 1 & 5 \\ 1 & 6 & 4 & 8 \end{matrix}]$ and $\overset{鈫�}{x} i s [\begin{matrix} 1 \\ 9 \\ 5 \\ 6 \end{matrix}]$ .

Find the product

By using CAS, find the product of the given matrix.

$[\begin{matrix} 1 & 7 & 8 & 9 \\ 1 & 2 & 9 & 1 \\ 1 & 5 & 1 & 5 \\ 1 & 6 & 4 & 8 \end{matrix}] [\begin{matrix} 1 \\ 9 \\ 5 \\ 6 \end{matrix}] = [\begin{matrix} 158 \\ 70 \\ 81 \\ 123 \end{matrix}]$

Hence, the product is $[\begin{matrix} 158 \\ 70 \\ 81 \\ 123 \end{matrix}]$ .

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91影视

Use technology to compute the product.
$[\begin{matrix} 1 & 7 & 8 & 9 \\ 1 & 2 & 9 & 1 \\ 1 & 5 & 1 & 5 \\ 1 & 6 & 4 & 8 \end{matrix}] [\begin{matrix} 1 \\ 9 \\ 5 \\ 6 \end{matrix}]$

Short Answer

Step by step solution

Consider the given matrices

Find the product

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91影视

Use technology to compute the product.[1789129115151648][1956]

Short Answer

Step by step solution

Consider the given matrices

Find the product

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Theoretical and Mathematical Physics

Calculus

Statistics

Geometry

Decision Maths

Study anywhere. Anytime. Across all devices.

Use technology to compute the product.
$[\begin{matrix} 1 & 7 & 8 & 9 \\ 1 & 2 & 9 & 1 \\ 1 & 5 & 1 & 5 \\ 1 & 6 & 4 & 8 \end{matrix}] [\begin{matrix} 1 \\ 9 \\ 5 \\ 6 \end{matrix}]$