Čonsider the matrix distributive property. (c + d)A = CA + dA, where A is a matrix and c and d are scalars Which of the following proves this property? Let A = O (c + d)A = (c + d) (c + o)a] = [(c + au) • (a + a)] = [] [do] = cl] + «[•»] = CA + dA O (c + d)A = (c + d) = CA + dA = [Me] = [Mep + 0 (6+ )A - (c + a) [a,] = [c + oa] = [ca, + do] = [c»,] (] -<•,] + «[•»] = %3D = CA + dA O (c + d)A = = CA + dA %3D + O (c + d)A = + = CA + dA %3D %3D
Čonsider the matrix distributive property. (c + d)A = CA + dA, where A is a matrix and c and d are scalars Which of the following proves this property? Let A = O (c + d)A = (c + d) (c + o)a] = [(c + au) • (a + a)] = [] [do] = cl] + «[•»] = CA + dA O (c + d)A = (c + d) = CA + dA = [Me] = [Mep + 0 (6+ )A - (c + a) [a,] = [c + oa] = [ca, + do] = [c»,] (] -<•,] + «[•»] = %3D = CA + dA O (c + d)A = = CA + dA %3D + O (c + d)A = + = CA + dA %3D %3D
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![Consider the matrix distributive property.
(c + d)A = cA + dA, where A is a matrix and c and d are scalars
%3D
Which of the following proves this property? Let A
0 ( + )A = (c + d) ] = [c+ d9aj] = [(c + a») · (a + a4) = [] + [daj] = c[»,] -
(c + a) ] = c[»] • «•«] = [ (-
= cA + dA
= CA + dA
%3D
%3D
+ d)a;
%3D
= CA + dA
%D
[Me]p+ [Me]> = ["ep] + [Me] = ["ep + Pe] = ["e(p + 2)] = ["e]co + >) = v(p + 2) O
= CA + dA
%3D
0(c+ OJA = ([] + [«J])W - J) • [•rJ] - [a) + [da] = cA + da
%3D
%3D
%3D
= CA + dA](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5b201e63-7127-4f3c-9a36-4733bd1c7900%2F01557f40-4de3-4c7b-82b1-2c0e7450a813%2Flrfe5yq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the matrix distributive property.
(c + d)A = cA + dA, where A is a matrix and c and d are scalars
%3D
Which of the following proves this property? Let A
0 ( + )A = (c + d) ] = [c+ d9aj] = [(c + a») · (a + a4) = [] + [daj] = c[»,] -
(c + a) ] = c[»] • «•«] = [ (-
= cA + dA
= CA + dA
%3D
%3D
+ d)a;
%3D
= CA + dA
%D
[Me]p+ [Me]> = ["ep] + [Me] = ["ep + Pe] = ["e(p + 2)] = ["e]co + >) = v(p + 2) O
= CA + dA
%3D
0(c+ OJA = ([] + [«J])W - J) • [•rJ] - [a) + [da] = cA + da
%3D
%3D
%3D
= CA + dA
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