Practice Midterm 1 (Solutions).pdf - Name: Math 54 Practice...

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Name:Math 54 Practice Midterm 1GSI: Alex Zorn1.Answer true or false, and explain your reasoning. Assume thatAis a 4×3 matrix with 3pivots. LetTdenote the linear transformation defined byT(x) =Ax.(a) The matrix equationAx=bis inconsistent for somebR4.
(b) The columns ofAare linearly independent.
(c) The columns ofAspanR4.
(d) The domain ofTisR4.
(e)Tis one-to-one.
(f) The matrix equationAx=bis inconsistent for everybR4.

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Term
Spring
Professor
Chorin

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