4. Given A= 83 and B = [9] what transformations are induced by A, B, AB, and BA. And what are the resultant transformations of TA O TB and TBO TA? You are expected to show a separate diagram of the unit square being transformed for each of these (6 diagrams in total). Label the vertices of the unit square and where the unit square is moved to appropriately to show the movement in each case. State the specific rotation or reflection for each. For both TA TB and TBO TA (2 separate diagrams), you are expected to show the original unit square and then two more squares, labeled aptly for each subsequent Confirm or deny whether TAO TB equals TAB and/or whether TBO TA equals transformation. ТВА.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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4. Given A=
R3
and B =
[9]
what transformations are induced by A, B, AB, and
BA. And what are the resultant transformations of TA O TB and TBO TA? You are expected
to show a separate diagram of the unit square being transformed for each of these (6
diagrams in total). Label the vertices of the unit square and where the unit square is moved
to appropriately to show the movement in each case. State the specific rotation or reflection
for each. For both TAO TB and TBO TA (2 separate diagrams), you are expected to show the
original unit square and then two more squares, labeled aptly for each subsequent
transformation.
Confirm or deny whether TAO TB equals TAB and/or whether TBO TA equals
ТВА.
Transcribed Image Text:4. Given A= R3 and B = [9] what transformations are induced by A, B, AB, and BA. And what are the resultant transformations of TA O TB and TBO TA? You are expected to show a separate diagram of the unit square being transformed for each of these (6 diagrams in total). Label the vertices of the unit square and where the unit square is moved to appropriately to show the movement in each case. State the specific rotation or reflection for each. For both TAO TB and TBO TA (2 separate diagrams), you are expected to show the original unit square and then two more squares, labeled aptly for each subsequent transformation. Confirm or deny whether TAO TB equals TAB and/or whether TBO TA equals ТВА.
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