Explain why S is not a basis for M_{2,2} S=left{begin{bmatrix}1 & 0 0 & 1 end{bmatrix},begin{bmatrix}0 & 11 & 0 end{bmatrix},begin{bmatrix}1 & 1 0 & 0 end{bmatrix}right}

Kaycee Roche 2020-11-30 Answered
Explain why S is not a basis for M2,2
S={[1001],[0110],[1100]}
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Expert Answer

Willie
Answered 2020-12-01 Author has 95 answers
Step 1
We have given a set of the matrices
S={[1001],[0110],[1100]}
Step 2
S is said to be a spanning set of V if its linear span is exactly to V.
In the given set of matrices S spans the whole space M2,2 which is strictly larger than V. So, S not a spanning set of V.
Hence , S is not basis for M2,2
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Jeffrey Jordon
Answered 2022-01-27 Author has 2047 answers

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