Solved: PROBLEM 37E[M] In Exercises the given matrix

Chapter 1, Problem 37E

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QUESTION:

[M] In Exercises 37 and 38, the given matrix determines a linear transformation T. Find all x such that T(x) = 0.

\(\left[\begin{array}{rrrr}4 & -2 & 5 & -5 \\ -9 & 7 & -8 & 0 \\ -6 & 4 & 5 & 3 \\ 5 & -3 & 8 & -4\end{array}\right]\)

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QUESTION:

[M] In Exercises 37 and 38, the given matrix determines a linear transformation T. Find all x such that T(x) = 0.

\(\left[\begin{array}{rrrr}4 & -2 & 5 & -5 \\ -9 & 7 & -8 & 0 \\ -6 & 4 & 5 & 3 \\ 5 & -3 & 8 & -4\end{array}\right]\)

ANSWER:

SolutionStep 1Let T is defined as T(x) = Ax where In this Question we have to find all × such that T(x) = 0.Here T(x) = 0 means Ax = 0

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