1 and let A = -2 3 be the 5 9. Let v = and v, = 3 matrix for T : R? R relative to the basis B = {v1, V,}. → %3D a. Find [T(v,)]g and [T(v,)]B-. b. Find T(v,) and T(v,). X1 c. Find a formula for T d. Use the formula obtained in (c) to compute

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1
and let A =
31
be the
9. Let v, =
and v2 =
-2
matrix for T : R2 R2 relative to the basis B = {v,, V,}.
a. Find [T(v,)]g and [T(v,)]B-.
b. Find T(v,) and T(v,).
X1
c. Find a formula for T
X2
d. Use the formula obtained in (c) to compute T
9.
VA =
1
4
15
20
Transcribed Image Text:1 and let A = 31 be the 9. Let v, = and v2 = -2 matrix for T : R2 R2 relative to the basis B = {v,, V,}. a. Find [T(v,)]g and [T(v,)]B-. b. Find T(v,) and T(v,). X1 c. Find a formula for T X2 d. Use the formula obtained in (c) to compute T 9. VA = 1 4 15 20
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