Coursera: Machine Learning (Week 1) Quiz - Linear Algebra | Andrew NG

 

 

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3.Linear Algebra

Don't just copy & paste for the sake of completion. 
The solutions uploaded here are only for reference.
They are meant to unblock you if you get stuck somewhere.
Make sure you understand first.

1.Let two matrices be
 , 
What is A - B ?

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•  
•  
•    ANSWER
• 1.Let two matrices be
   , 
  What is A + B ?
  •  
  •  
  •     ANSWER
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• 2.Let
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  What is 2∗x ?
  
  •     ANSWER
  •   
    
  •   
    
  •   
  • 2.Let
    
    What is 2∗x ?
    
    •   
      
    •     ANSWER
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    •   
      
• 3.Let u be a 3-dimensional vector, where specifically
  
  What is  ?
  
  •     ANSWER
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4.Let u and v be 3-dimensional vectors, where specifically

and

what is  ?
(Hint:  is a 1x3 dimensional matrix, and v can also be seen as a 3x1 matrix. The answer you want can be obtained by taking the matrix product of  and .) Do not add brackets to your answer.
Answers=-4

• 5.Let A and B be 3x3 (square) matrices. Which of the following must necessarily hold true? Check all that apply.
  •   
    
  •   If A is the 3x3 identity matrix, then 
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  •     ANSWER
• 
  
• 5.Let A and B be 3x3 (square) matrices. Which of the following must necessarily hold true? Check all that apply.
•   If , then C is a 3x3 matrix.
•   If A is the 3x3 identity matrix, then 
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