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The rank of a matrix is the number of independent rows and / or columns of a matrix. We will soon define what we mean by the word independent. ... <看更多>
Hints: A=vwT⟹rankA=1 should be pretty easy to prove directly. Multiply a vector in Rm by A and see what you get. For the other direction, think about what ... ... <看更多>
It's not really so clear what you are aiming for. But in order to create a matrix B with specific rank k , from a matrix A (with rank at ... ... <看更多>