9. Let T : P2(R) → R² be the linear transformation given by a – 4b T(a + bx + cx²) =|, a + 36 + 5c Find the matrix representation of T relative to the ordered bases {O H} B = {1,1+x, 1+ x + x² } and C = 10. Let T : M2(R) → R³ be the linear transformation given by 7 (: )-[- a +d (). 4a – 2b + 8c + 6d 36 – 9c Find the matrix representation of T relative to the ordered bases {OE } and C = %3D 3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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9. Let T : P2(R) → R² be the linear transformation given by
a – 4b
T(a + bx + cx²) =|,
a + 36 + 5c
Find the matrix representation of T relative to the ordered bases
{O H}
B = {1,1+x, 1+ x + x² } and C =
10. Let T : M2(R) → R³ be the linear transformation given by
7 (: )-[-
a +d
().
4a – 2b + 8c + 6d
36 – 9c
Find the matrix representation of T relative to the ordered bases
{OE }
and C =
%3D
3
Transcribed Image Text:9. Let T : P2(R) → R² be the linear transformation given by a – 4b T(a + bx + cx²) =|, a + 36 + 5c Find the matrix representation of T relative to the ordered bases {O H} B = {1,1+x, 1+ x + x² } and C = 10. Let T : M2(R) → R³ be the linear transformation given by 7 (: )-[- a +d (). 4a – 2b + 8c + 6d 36 – 9c Find the matrix representation of T relative to the ordered bases {OE } and C = %3D 3
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