Hi, I need help with this problem, please. Thank you! -{(: :)aConsider the subspace W =: а+b+c+d 3D 0of M2x2 (R). Choose all of thefollowing statements that are true. Please note that more than one answer may be correct.- {(; :)· (; }). (; :)}:). (G1B =1is a basis for W.11O dim W = 3:).({(; :). (: :). (: :). (: )}1-1-1is a basis for W.=111is a basis for W.O dim W = 4

Name: Hi, I need help with this problem, please. Thank you! -{(: :)aConsider
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Description: Hi, I need help with this problem, please. Thank you! -{(: :)aConsider the subspace W =: а+b+c+d 3D 0of M2x2 (R). Choose all of thefollowing statements that are true. Please note that more than one answer may be correct.- {(; :)· (; }). (; :)}:). (G1

Given :- Consider the subspace W = abcd : a+b+c+d =0 of M2×2ℝ. To Determine :- Basis of W.

Answered: Consider the subspace W : a +b+c+d = 0}…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Hi, I need help with this problem, please. Thank you!

-{(: :)
a
Consider the subspace W =
: а+b+c+d 3D 0
of M2x2 (R). Choose all of the
following statements that are true. Please note that more than one answer may be correct.
- {(; :)· (; }). (; :)}
:). (G
1
B =
1
is a basis for W.
1
1
O dim W = 3
:).(
{(; :). (: :). (: :). (: )}
1
-1
-1
is a basis for W.
=
1
1
1
is a basis for W.
O dim W = 4

Expert Solution

Step 1

Given :-

Consider the subspace $W = \{(\begin{matrix} a & b \\ c & d \end{matrix}) : a + b + c + d = 0\} o f M_{2 \times 2} (ℝ)$ .

To Determine :-

Basis of $W$ .

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