Find the standard matrix for the linear operator T defined by the formula T(x1,x2,x3)=(4x1,7x2,-8x3).

Question

Find the standard matrix for the linear operator T defined by the formula [latex]T(x_{1},x_{2},x_{3})\!=\!\left(4x_{1},7x_{2},-8x_{3}\right)\!.[/latex]

Accepted Answer

The standard matrix for the linear operator [latex]T(x_{1},x_{2},x_{3})\!=\!\left(4x_{1},7x_{2},-8x_{3} ight)\!\ [/latex] is

[latex]T=\left[\begin{array}{c c c}{\ \ {4\;\;}}&{{\;0}}&{{\;0}}\ {{0}}&{{\ 7}}&{{\;0}}\ {{0}}&{{\ 0}}&{{-8\ }}\end{array} ight].[/latex]

Question 1.5: Find the standard matrix for the linear operator T defined b......

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