Introduction to Linear Algebra
Introduction to Linear Algebra MA 405
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This 1 page Study Guide was uploaded by Braeden Lind on Thursday October 15, 2015. The Study Guide belongs to MA 405 at North Carolina State University taught by R. Ramsay in Fall. Since its upload, it has received 30 views. For similar materials see /class/223682/ma-405-north-carolina-state-university in Mathematics (M) at North Carolina State University.
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Date Created: 10/15/15
Chapter 4 Review Questions Let L R2 a R2 be de ned by re ection through the line 1 y 0 a Llt by symmetry about the line 1 y 0 ltbgt LltalilgtLltllgtllaliilwalillwd Lltllz lgtlzltllgt 31123ZiHizl Lltllgt c Le1 f2Le1 3soLx 72 Let L P3 gt R2 be the linear transformation de ned by Labx012 10 biaic a L1i Lx 212 71A71 2 ilrhen p Aha where p is the coordinate vector ofp with respect to 1 1 x2 1 b The nullspace ofA has basis O so the kernel ofL has basis 1 7 x2 V ac c LltW2 H 2c 1somsgthasbm1 V 1 2 The linear transformatlon L R2 gt R2 is represented by the matrix 72 3 w1th respect to the basis Find the matrix which represents L with respect to the standard basis LetA 7 3371 1Thenwehavethe owdiagram x 3 3 x i Lx 1 Lx Thus SASquot1 represents L with respect to the standard basis Where 2H 3H1 2H3 il
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