• Verify that the new basis is orthogonal and find the transformation matrix • Find the tensor F has the compoments 2 -2 0 -2 6 4. referred to the system e,, find its compoments in the system e.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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2.7 A change of basis is defined by the angles betweeen the unit vectors given by
e
es
e's
90°
45°
135°
e2
45°
60°
60°
e3
45°
120°
120°
• Verify that the new basis is orthogonal and find the transformation matrix
• Find the tensor F has the compoments
-2
-2
6.
4.
referred to the system e;, find its compoments in the system e',.
Transcribed Image Text:2.7 A change of basis is defined by the angles betweeen the unit vectors given by e es e's 90° 45° 135° e2 45° 60° 60° e3 45° 120° 120° • Verify that the new basis is orthogonal and find the transformation matrix • Find the tensor F has the compoments -2 -2 6. 4. referred to the system e;, find its compoments in the system e',.
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