DSA Studio

Linear Algebra Checkpoint

Vectors, matrices, and operations.

Get every question correct to pass this checkpoint. You can review feedback, revise your answers, and submit again.

1. A batch X has shape (4,3) and W has shape (3,2). What shape does XW have?

Select one answer.

2. For x=[2,-1], w=[3,4], and bias 5, what is dot(x,w)+bias?

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3. You transpose a (2,5) matrix before multiplying it by a (2,3) matrix. Is the product defined?

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4. A vector [6,8] is normalized to unit L2 norm. What is its first coordinate?
5. A transformation maps [1,0] to [1,0] and [0,1] to [0,0]. What information does it lose?

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