2) Let T be a linear transformation from P3 (R) to M22 (R). Let B = (1 + 1x + 3x²2 +0x³), (2 + 3x + 7x² + 0x³), (2 + 1x + 6x² + (-1) x³), (2 + 4x + 9x² +0x³). -9836369 Let C = Let M = 0 1 1 -1 2 3 -1 2 -2 1 2 be the matrix transformation of T from basis B to C. -2 4 -4 0 The closed form of the transformation is T(a + bx + cx² + dx³) =

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Chapter11: Matrices And Determinants
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Problem 1P: The gray square in Table 1 has the following vertices: [00],[10],[11],[01] Apply each of the three...
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2) Let T be a linear transformation from P3 (R) to M22 (R).
Let B = (1 + 1x + 3x² + 0x³), (2 + 3x + 7x² +0x³), (2 + 1x + 6x² + (-1) x³), (2 + 4x + 9x² + 0x³).
LC-961-68-69
Let C =
Let M =
0
1
1
Let B =
The closed form of the transformation is T(a + bx + cx² + dx³) =
Let M =
-1 2
-2
2
1
2
3
-2 4
-1
-4
0
3) Let T be a linear transformation from M22 (R) to P3 (R).
= 78 42² 36}]
Let C = (1 + 1x + 0x² + 0x³), (0+ 1x + 1x² + 0x³), (0+ 0x + 1x² + 1x³), (0+ 0x + 0x² + 1x³).
2707
be the matrix transformation of T from basis B to C.
10 1 12
-2 -11
0 -14
1
-3 -19 2 -25
1 -1
be the matrix transformation of T from basis B to C.
The closed form of the transformation is T
a
C
=
Transcribed Image Text:2) Let T be a linear transformation from P3 (R) to M22 (R). Let B = (1 + 1x + 3x² + 0x³), (2 + 3x + 7x² +0x³), (2 + 1x + 6x² + (-1) x³), (2 + 4x + 9x² + 0x³). LC-961-68-69 Let C = Let M = 0 1 1 Let B = The closed form of the transformation is T(a + bx + cx² + dx³) = Let M = -1 2 -2 2 1 2 3 -2 4 -1 -4 0 3) Let T be a linear transformation from M22 (R) to P3 (R). = 78 42² 36}] Let C = (1 + 1x + 0x² + 0x³), (0+ 1x + 1x² + 0x³), (0+ 0x + 1x² + 1x³), (0+ 0x + 0x² + 1x³). 2707 be the matrix transformation of T from basis B to C. 10 1 12 -2 -11 0 -14 1 -3 -19 2 -25 1 -1 be the matrix transformation of T from basis B to C. The closed form of the transformation is T a C =
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