Define the linear transformation T by T(x) = Ax. 1 A- [6 -13] = 0 (a) Find the kernel of T. (If there are an infinite number of solutions use t as your parameter.) {-6, -3,1 } ker(7) = (b) Find the range of T. X {(-t, t): t is any real number} O R² {(3t, t): t is any real number} {(t, 3t): t is any real number} R
Define the linear transformation T by T(x) = Ax. 1 A- [6 -13] = 0 (a) Find the kernel of T. (If there are an infinite number of solutions use t as your parameter.) {-6, -3,1 } ker(7) = (b) Find the range of T. X {(-t, t): t is any real number} O R² {(3t, t): t is any real number} {(t, 3t): t is any real number} R
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Define the linear transformation T by T(x) = Ax.
A = [113]
(a) Find the kernel of T. (If there are an infinite number of solutions use t as your parameter.)
{-6, -3,1
}
ker(7) =
(b) Find the range of T.
X
{(-t, t): t is any real number}
O R²
{(3t, t): t is any real number}
{(t, 3t): t is any real number}
R](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9803fb3b-dfc9-4d82-9841-2445951838a9%2F7bbdab6c-6e78-4432-a892-675d634494d2%2F5b3wqwe_processed.png&w=3840&q=75)
Transcribed Image Text:Define the linear transformation T by T(x) = Ax.
A = [113]
(a) Find the kernel of T. (If there are an infinite number of solutions use t as your parameter.)
{-6, -3,1
}
ker(7) =
(b) Find the range of T.
X
{(-t, t): t is any real number}
O R²
{(3t, t): t is any real number}
{(t, 3t): t is any real number}
R
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