Machine Learning 1 Linear Algebra Review quiz
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正确
1 / 1 分
1。
Let two matrices be
A=[4639],B=[−2−592]
What is A - B?
[21−67]
[611−1211]
[611−67]
正确
To subtract B from A, carry out the subtraction element-wise.
[411211]
正确
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2。
Let x=⎡⎣⎢⎢2741⎤⎦⎥⎥
What is 3∗x?
[621123]
[23734313]
⎡⎣⎢⎢⎢⎢⎢⎢23734313⎤⎦⎥⎥⎥⎥⎥⎥
⎡⎣⎢⎢621123⎤⎦⎥⎥
正确
To multiply the vector x by 3, take each element of x and multiply that element by 3.
正确
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3。
Let u be a 3-dimensional vector, where specifically
u=⎡⎣814⎤⎦
What is uT?
⎡⎣418⎤⎦
[814]
正确
[418]
⎡⎣814⎤⎦
正确
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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.) Do not add brackets to your answer.
正确回答
正确
1 / 1 分
5。
Let A and B be 3x3 (square) matrices. Which of the following
must necessarily hold true? Check all that apply.
A∗B∗A=B∗A∗B
未选择的是正确的
If A is the 3x3 identity matrix, then A∗B=B∗A
正确
Even though matrix multiplication is not commutative in general (A∗B≠B∗A for general matrices A,B), for the special case where A=I, we have A∗B=I∗B=B, and also B∗A=B∗I=B. So, A∗B=B∗A.
A∗B=B∗A
未选择的是正确的
A+B=B+A
正确
We add matrices element-wise. So, this must be true.
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