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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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If T: R³ R³ is a linear transformation such that
→
O-AO-AO-A
-3 T
0
~(:))-
then T
=
-2
3
T
-3
3
2
7"
Transcribed Image Text:T
If T: R³ R³ is a linear transformation such that
→
O-AO-AO-A
-3 T
0
~(:))-
then T
=
-2
3
T
-3
3
2
7
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- f and g are linear transformations which in matrix form are (0 -4) and (3 3) (2 1) (-5 -4) What is the image of the point (-1,1) under the composite transformation g o f?arrow_forwardLet T: R³ R³ be a linear transformation such that →>> T(#1, #2, 3) = (x1 − 2x₂ + 3x3, −æ₁ + 3x2 - 4x3,2x1 – 9x2 + 5x3). Determine if the linear transformation is one-one, onto or both. Justify your answer. Upload Choose a File Next No new data to save. Last checked at 10:33pm Submit < Previousarrow_forwardI really need help witharrow_forward
- The vertices of a square are H(0, 2), I(2, 0), J(0, –2), and K(-2,0). Which statements are true of the image of HIJK after the given composition of transformations? Select all that apply. Step 1: (x, y) → (-y, x) Step 2: (x, у) — (Зх, Зу) H" (-2,0) HIJKE H'I'J'K' H'TJ'K'~ H"I"J"K" J" (6, 0) Y = xis a line of symmetry for the HIJK and H"I"J"K"arrow_forwardLet T : P2 → P2 be a function represented by T(c+ bx + ax?) = (3c+ a) + (2b + 3a)x + ax? Determine whether T is a linear transformation.arrow_forwardSuppose that -3 1 -1 -3 A 2 1 -6 2 1 Use this information to describe the transformation T(x) = Ax geometrically. - No text entered -arrow_forward
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