Machine Learning week 1 quiz: Linear Algebra
Linear Algebra
1.?
Let two matrices be
A=[4639],B=[?2?592]
What is A - B?
[411211]
[611?1211]
[611?67]
[21?67]
2.?Let?x=????8251????
What is?2?x?
??????415212??????
[164102]
????164102????
[415212]
3.?Let u be a 3-dimensional vector, where specifically
u=??814??
What is?uT?
[418]
??814??
??418??
[814]
4.?Let u and v be 3-dimensional vectors, where specifically
u=???343??
and
v=??315??
What is?uTv?
(Hint:?uT?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?uT?and?v.)
5.?Let A and B be 3x3 (square) matrices. Which of the following
must necessarily hold true?
A?B?A=B?A?B
If A is the 3x3 identity matrix, then?A?B=B?A
A+B=B+A
A?B=B?A
總結
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