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Algebra: vector space

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Determine which of the following subsets of M22 form subspaces.

a) The subset having diagonal elements nonzero.
b) The subset of matrices whose (1,2) element is 0.
c)The subset of matrices of the form ( a b )
(-b c )
d)The subset of 2x2 matrices whose determinants are zero.

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The expert determines which subsets of a vector space are subspaces.

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Determine which of the following subsets of M22 form subspaces.

a) The subset having diagonal elements nonzero.
b) The subset of matrices whose (1,2) element is 0.
c)The subset of matrices of the form ( a b )
(-b c )
d)The subset of 2x2 matrices ...

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