Find a subset of s that forms a basis for the same space

Reference no: EM13259810

1. The following set S of 2X2 matrices spans some space. Find a subset of S that forms a basis for the same space.

S={ [1 0 , [ 1 1 , [ 0 1 , [ -1 1 , [ 0 0 }

3 -1] 1 1 ] 0 1 ] -1 1] 0 3]

2. Consider the set of all elements of R^3 of the form (a,b,a+2b). Prove whether the subset is a subspace of the vector space R^3 or not.

Use "regula" addition and scalar multiplication.

Reference no: EM13259810

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