Let A and B be the given matrices. Find (if possible)i) Ax B,i) В X А.iii) B²iv) A?v) A x 1,iv) B x 11.1 0A 3=132B=1231.-140.621

Answered: Let A and B be the given matrices. Find…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Related questions

Question

Let A and B be the given matrices. Find (if possible)
i) Ax B,
i) В X А.
iii) B²
iv) A?
v) A x 1,
iv) B x 1
1.
1 0
A 3=
13
2
B=12
3
1.
-1
4
0.
621

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Step 2: Part (i)

$\begin{array}{rcl} A \times B & = & [\begin{matrix} 1 & 0 & - 4 \\ 3 & - 2 & - 1 \end{matrix}] [\begin{matrix} 6 & 5 & 1 \\ 2 & 3 & - 2 \\ 1 & - 4 & 0 \end{matrix}] \\ = & [\begin{matrix} 1 \times 6 + 0 \times 2 + (- 4) \times 1 & 1 \times 5 + 0 \times 3 + (- 4) \times (- 4) & 1 \times 1 + 0 \times (- 2) + (- 4) \times 0 \\ 3 \times 6 + (- 2) \times 2 + (- 1) \times 1 & 3 \times 5 + (- 2) \times 3 + (- 1) \times (- 4) & 3 \times 1 + (- 2) \times (- 2) + (- 1) \times 0 \end{matrix}] \\ = & [\begin{matrix} 6 + 0 - 4 & 5 + 0 + 16 & 1 + 0 + 0 \\ 18 - 4 - 1 & 15 - 6 + 4 & 3 + 4 + 0 \end{matrix}] \\ = & [\begin{matrix} 2 & 21 & 1 \\ 13 & 13 & 7 \end{matrix}] \end{array}$