Which one of the following is a subspace of the vector space M2 (R) of 2 x 2 matrices? ss (X) the correct answer: A {(6 ) B {(: :) C {(; :) {(: ) {(: ) а { C% 2la+b+c = 0, a, b, c € R X ER} а B a) | cd = 0, a, b, c, d e R cd 3 |a+ 2b %3D 0, а, bER a |C| b а D | cd = 1, a, b, c, d e R C a b E a) la +c+d = 1, a, b, c, d E R } F None of the above
Which one of the following is a subspace of the vector space M2 (R) of 2 x 2 matrices? ss (X) the correct answer: A {(6 ) B {(: :) C {(; :) {(: ) {(: ) а { C% 2la+b+c = 0, a, b, c € R X ER} а B a) | cd = 0, a, b, c, d e R cd 3 |a+ 2b %3D 0, а, bER a |C| b а D | cd = 1, a, b, c, d e R C a b E a) la +c+d = 1, a, b, c, d E R } F None of the above
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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Transcribed Image Text:2. Which one of the following is a subspace of the vector space M2(R) of 2 × 2 matrices?
cross (X) the correct answer:
A {(; )
B {(: )
а
|a + b+c= 0, a, b, c E R} |X
а
В
| cd = 0, a, b, c, d eR}
d
3
a + 26 = 0, a, b ER
а
C
а,
D {( )
E {(* )
a) I
cd = 1, a, b, c, d E R}
a)
| a +c +d = 1, a,b, c, d e R}
F None of the above
![Find subspaces of the vector space of 2x2 matrices
{(; )|
a
a
' = b, a, b E R
b
b.
{(" )[ab= 3,a, b, c, d E R
C
d
{(; :) |--+
a
a – b = 0, a, bER
{(C 21--b=0,a,b,c E R
{(: :)
{C 2]ac = 0,a, b, c, d E R
}
0, а, b, с, d € R
C
d
{(: )[-+d=1,a,b.c,d e R](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0514836b-15a4-4123-8208-dc2e97d4c3f2%2F0919a58b-fa1c-410d-89fd-bbbecf33553e%2Ftw7tqtn_processed.png&w=3840&q=75)
Transcribed Image Text:Find subspaces of the vector space of 2x2 matrices
{(; )|
a
a
' = b, a, b E R
b
b.
{(" )[ab= 3,a, b, c, d E R
C
d
{(; :) |--+
a
a – b = 0, a, bER
{(C 21--b=0,a,b,c E R
{(: :)
{C 2]ac = 0,a, b, c, d E R
}
0, а, b, с, d € R
C
d
{(: )[-+d=1,a,b.c,d e R
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