Let B₁ { [³2] [="]} 32 Show Transcribed Text Question 2 be the linear transformation defined by T respect to the bases B₁ and B₂. Let B₁ = 14 {D]] T([8]) = [ and B₂ 3 8··} 2 and B₂ be two bases for R² and let T : R² → R² -4a +56] 4a + b 5569 Find the matrix M‚Â₁ of T with {0.0} and let T: R³ R² be the linear transformation defined by T matrix MB₂,B₂ of T with respect to the bases B₁ and B₂. be bases for R³ and R² respectively (1) [ 4a - 2b + c -3a-b+5c] Find the

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 3EQ
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Question
Let B₁ =
39
{ [32] []}
be the linear transformation defined by T
respect to the bases B₁ and B₂.
Show Transcribed Text
Question 2
Let B₁ =
and B₂ =
3
{0·8·6}
2
{[i].
([3]) =
and B₂ =
be two bases for R2 and let T: R2² → R²
-9
[-4a +56]
4a + b
. Find the matrix MB₂,B₁ of T with
{0.0}
and let T: R³ → R² be the linear transformation defined by T
matrix MB₂,B₁ of T with respect to the bases B₁ and B₂ .
be bases for R³ and R² respectively
a
(ED)
=
4a - 2b + c
-3a-b+5c
. Find the
Transcribed Image Text:Let B₁ = 39 { [32] []} be the linear transformation defined by T respect to the bases B₁ and B₂. Show Transcribed Text Question 2 Let B₁ = and B₂ = 3 {0·8·6} 2 {[i]. ([3]) = and B₂ = be two bases for R2 and let T: R2² → R² -9 [-4a +56] 4a + b . Find the matrix MB₂,B₁ of T with {0.0} and let T: R³ → R² be the linear transformation defined by T matrix MB₂,B₁ of T with respect to the bases B₁ and B₂ . be bases for R³ and R² respectively a (ED) = 4a - 2b + c -3a-b+5c . Find the
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