2 Answered Questions for the topic matrix rank

05/22/19

Is the rank of a matrix the same of its transpose? If yes, how can I prove it?

I am auditing a Linear Algebra class, and today we were taught about the rank of a matrix. The definition was given from the row point of view: > "The rank of a matrix A is the number > of... more

What is the relation between rank of a matrix, its eigenvalues and eigenvectors?

I am quite confused about this. I know that zero eigenvalue means that null space has non zero dimension. And that the rank of matrix is not the whole space. But is the number of distinct... more

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