T(1,₂)=(-221-272, 21-22,) is a linear transformation from R2 into R2. Find the standar nvertible. The standard matrix of T is A = The standard matrix of T is A = The standard matrix of Tis A== BA The standard matrix of Tis A== -2 The standard matrix of Tis A = N 1 19 and T is invertible because the columns of A span R². and 'T' is not invert A because the determinant of A is zero 7' is invertible because the columns of A span R². and 7' is invertible because the columns of A does not span R². and Tis not invertible because the determinant of A is zero.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question 10
T(₁,₂)=(-271-272, 2x12x2,) is a linear transformation from R2 into R2. Find the standard matrix and determine if Tis
invertible.
The standard matrix of T is A =
The standard matrix of T is A =
The standard matrix of T is A =
[
The standard matrix of T is A =
-2
-2
The standard matrix of T is A =
12
2
C
and T is invertible because the columns of A span R²2.
and 7' is not invertible because the determinant of A is zero
and 7'is invertible because the columns of A span R².
and 7's invertible because the columns of A does not span R².
and I' is not invertible because the determinant of A is zero.
Transcribed Image Text:Incorrect Question 10 T(₁,₂)=(-271-272, 2x12x2,) is a linear transformation from R2 into R2. Find the standard matrix and determine if Tis invertible. The standard matrix of T is A = The standard matrix of T is A = The standard matrix of T is A = [ The standard matrix of T is A = -2 -2 The standard matrix of T is A = 12 2 C and T is invertible because the columns of A span R²2. and 7' is not invertible because the determinant of A is zero and 7'is invertible because the columns of A span R². and 7's invertible because the columns of A does not span R². and I' is not invertible because the determinant of A is zero.
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