What geometric transformation of 3D space happens in this matrix-vector multiplication? ')· (3) 00 01 1 0 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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What geometric transformation of 3D space happens in this matrix-vector multiplication?
00 -1
01 0
0 0
¹)-(3)
Please note: All rotation directions to be understood as when looking along the rotation axis towards the origin.
The correct answer gets 1 mark. Incorrect answers get O marks.
Clockwise rotation by 90 degrees around the x3 axis
O Counter-clockwise rotation by 90 degrees around the x3 axis
O Clockwise rotation by 90 degrees around the x₂ axis
O Counter-clockwise rotation by 90 degrees around the x₂ axis
O Clockwise rotation by 90 degrees around the x₁ axis
Counter-clockwise rotation by 90 degrees around the x₁ axis
Mirroring across the x₁-x2 plane
Mirroring across the x₁-x3 plane
O Mirroring across the x₂-x₂ plane
Transcribed Image Text:What geometric transformation of 3D space happens in this matrix-vector multiplication? 00 -1 01 0 0 0 ¹)-(3) Please note: All rotation directions to be understood as when looking along the rotation axis towards the origin. The correct answer gets 1 mark. Incorrect answers get O marks. Clockwise rotation by 90 degrees around the x3 axis O Counter-clockwise rotation by 90 degrees around the x3 axis O Clockwise rotation by 90 degrees around the x₂ axis O Counter-clockwise rotation by 90 degrees around the x₂ axis O Clockwise rotation by 90 degrees around the x₁ axis Counter-clockwise rotation by 90 degrees around the x₁ axis Mirroring across the x₁-x2 plane Mirroring across the x₁-x3 plane O Mirroring across the x₂-x₂ plane
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