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2.4.3. In MATLAB, define [1 0 0 0 1012] 1 1 0 1/3 A=0 1 1 0 0 = 2/3 b=A. , 0 0

2.4.3. In MATLAB, define [1 0 0 0 1012] 1 1 0 1/3 A=0 1 1 0 0 = 2/3 b=A. , 0 0 1 1 0 1 0 0 0 1 0 4/3 (a) The format command can adjust output appearance in MATLAB; enter format long in MATLAB. Using Function 2.4.1 and triangular substi- tutions, solve the linear system Ax = b and let MATLAB print out the result. About how many (to the nearest integer) accurate digits are in the result? (The answer is much less than the default 16 of double precision.) Chapter 2. Square linear systems (b) Repeat part (a) with 1020 as the corner element. (The result is even less ac- curate. We will study the causes of such low accuracy later in the chapter.)

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