Let V = M²x²(R) be the vector space of all real (2×2)-matrices. Are the following four matrices linearly independent? A1 = [1 A2 = A3 = " A4 = [33]

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Linear algebra problem. Please show all steps clearly, thank you. 

7. Let V M2x2 (R) be the vector space of all real (2×2)-matrices. Are the following
four matrices linearly independent?
A2
[J].
0
A₁
=
[9]
"
A3
-
[9],
A4
-
3 0
Transcribed Image Text:7. Let V M2x2 (R) be the vector space of all real (2×2)-matrices. Are the following four matrices linearly independent? A2 [J]. 0 A₁ = [9] " A3 - [9], A4 - 3 0
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