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Give Examples of 1) A basis for P^6 2) A subspace of R^7 of dimension 5 3) An inconsistant system of linear equations in 4 variables. 5) A linear...

Give Examples of

1) A basis for P^6


2) A subspace of R^7 of dimension 5


3) An inconsistant system of linear equations in 4 variables.



5) A linear transformation from R^5 to R^2x3.



6) Two matrices with x^2+ 6x +5 as the characteristic polynomial.

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