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Solved: In Exercises, show that T is a linear
Chapter 1, Problem 17E(choose chapter or problem)
QUESTION:
PROBLEM 17E
In Exercises, show that T is a linear transformation by finding a matrix that implements the mapping. Note that x1,x2,… are not vectors but are entries in vectors.
T(x1, x2, x3, x4) = (0, x1+ x2, x2 + x3, x3 + x4)
Questions & Answers
QUESTION:
PROBLEM 17E
In Exercises, show that T is a linear transformation by finding a matrix that implements the mapping. Note that x1,x2,… are not vectors but are entries in vectors.
T(x1, x2, x3, x4) = (0, x1+ x2, x2 + x3, x3 + x4)
ANSWER:
Solution :
Step 1 :
We want find matrix A that encodes the transformation
It as four input variable and four output variable, so it should be a matrix
