Find a basis for the space of 2 \times 2

impresijuzj 2021-11-28 Answered
Find a basis for the space of 2×2 lower triangular matrices
Basis =
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Expert Answer

Thomas Conway
Answered 2021-11-29 Author has 10 answers

S = set of lower triangular matrices.
To find basis of s
Let A=[a0bc]ϵS
A=a[1000]+b[0010]+c[0001]
A can be written as the linear combination of vectors
[1000],[0010]and[0001]
and B=[1000],[0010],[0001]
is linearly independent set
B is basis for the space of 2×2 lower triangular matrices
Finally answer:
B=[1000],[0010],[0001]

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Jeffrey Jordon
Answered 2022-01-30 Author has 2027 answers

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