Circle - Linear Algebra - Quiz Solution, Exercises of Linear Algebra

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Math 205A Quiz 07 page 1 March 14, 2008 NAME. Sq gested fol 1. In each part below, let A be the matrix whose columns are formed by the given set S of vectors. First, write the RREIF form of A next to S. Second, use RREF(A) to explain whether $ spans R*. Third, show how RREF(A) indicates if S is linearly independent. Finally, circle ¥ or N as the correct answer to the question, is S a basis of R3. 1A s={ [>] | | =|} RREF(A): 1 4 @ ot Vat bel Lal [9 “ lo o1 gs Oo 6 06 Span R® discussion: - The rud seas in REF (A) srewns tat. PR= 6 wal ade alge be consistent; Hocas wom EF AhS fb Oranet be tsallen Ges Nhear conlhadinss Sf the retmbcer of S AAS don rit pan /R? The thee willl) in REA) hl ow Hae OR>E hwo wor tor jat te tuck aig co 8 5 flor Luraely Tal Lt Basis? -Y (Ns) 3] fiz] fis) [16 7 wos {P].[e) fel [rh RREF(A): {4% © © 3] [12] | 7} {13 oo | a Span R* discussion: oO Ol rece) blk wo #. tyetin P= 8 will be crnscitntt Oca so route oi ) be all Bek’, tak 4 y bry GER? an be winiten 4a a Le He mbna gf S wo S POEL span IR? Linear Independénce discussion: (Same ae in 7) Basis? ye (®) Linear Independence discussion: quiz continues other side