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Which of these are invalid equations in index notation? Tick all that apply. A B a b c d © C D a b + c d E a b + c d k i ac bd; a b +c,d, k k

Which of these are invalid equations in index notation? Tick all that apply. A B a b c d © C D a b + c d E a b + c d k i ac bd; a b +c,d, k k

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Which of these are invalid equations in index notation? Tick all that apply. A B a b c d © C D a b + c d E a b + c d k i ac bd; a b +c,d, k k
Transcribed Image Text:Which of these are invalid equations in index notation? Tick all that apply. A B a b c d © C D a b + c d E a b + c d k i ac bd; a b +c,d, k k
Expert Solution
Step 1

Option(A)  This the invalid equation because here ai.bi and cj.dj  are possible but their sum are not possible because of different matrix dimension .

 

Option(B) This is the valid expression because all vectors is of same dimension "i" .

 

Option(C) This is also invalid equation reason same as option (A) 

 

Option(D) This is invalid equation because dimension are different in the multiplication of the 1st and 2nd vectors.

Option (E). This is also invalid as ai bi and ckdk are possible but their sum is not possible because dimension is different i and k

 

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