Find a basis for the space of 2 times 2 diagonal matrices. text{Basis }=left{begin{bmatrix}&& end{bmatrix},begin{bmatrix}&& end{bmatrix}right}

Chardonnay Felix 2021-01-31 Answered
Find a basis for the space of 2×2 diagonal matrices.
Basis ={[],[]}
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Expert Answer

Jayden-James Duffy
Answered 2021-02-01 Author has 91 answers
Step 1
let the space of 2×2 diagonal matrices be as
[a00b]
we can choose values of a and b randomly Step 2
Basis of matrix [a00b] can be taken as
a=1,b=0
[1000]
a=0, b=1 [0001]
Basis ={[1000],[0001]}
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