2. The matrix of a linear transformation T is given by 8 (a) A basis of R² is given by B = {(3,4), (-2,-3)}. You are given the B-matrix for the transformation Tis (b) (c) A: = [T] B = M = what is w? B -5 3 can be written as M = P-¹AP. What is From lecture, we know the B-matrix the matrix P (write out the matrix)? If [w]B = [3], By inspection, determine [(-5, -7)]B. -2 1
2. The matrix of a linear transformation T is given by 8 (a) A basis of R² is given by B = {(3,4), (-2,-3)}. You are given the B-matrix for the transformation Tis (b) (c) A: = [T] B = M = what is w? B -5 3 can be written as M = P-¹AP. What is From lecture, we know the B-matrix the matrix P (write out the matrix)? If [w]B = [3], By inspection, determine [(-5, -7)]B. -2 1
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.9: Properties Of Determinants
Problem 34E
Related questions
Question
![2. The matrix of a linear transformation T is given by
^-1
A =
A basis of R² is given by B = {(3,4), (-2,-3)}. You are given the B-matrix for the
transformation Tis
[T]B = M =
(b)
(c)
(d)
13]
(a) From lecture, we know the B-matrix can be written as M = P-¹AP. What is
the matrix P (write out the matrix)?
If [w])s = [3]
By inspection, determine [(-5, -7)]B.
Use the appropriate parts of the problem to help you determine how to write
T(-5, -7) as a linear combination of the basis vectors in B. Write out the
linear combination. Computing T(-5, -7) explicitly is optional, but can help
for partial credit and to check if your answer makes sense.
what is w?
-2 1
-5 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee563bfe-badf-4a9d-9a7e-d47066dc4e0e%2F8be750b0-e23e-4941-ab1d-e971e6df6ebf%2Fqamni0e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. The matrix of a linear transformation T is given by
^-1
A =
A basis of R² is given by B = {(3,4), (-2,-3)}. You are given the B-matrix for the
transformation Tis
[T]B = M =
(b)
(c)
(d)
13]
(a) From lecture, we know the B-matrix can be written as M = P-¹AP. What is
the matrix P (write out the matrix)?
If [w])s = [3]
By inspection, determine [(-5, -7)]B.
Use the appropriate parts of the problem to help you determine how to write
T(-5, -7) as a linear combination of the basis vectors in B. Write out the
linear combination. Computing T(-5, -7) explicitly is optional, but can help
for partial credit and to check if your answer makes sense.
what is w?
-2 1
-5 3
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