Construct a 4times3 matrix with rank 1

CheemnCatelvew

CheemnCatelvew

Answered question

2020-12-21

Construct  a 4×3 matrix with rank 1

 

Answer & Explanation

izboknil3

izboknil3

Skilled2020-12-22Added 99 answers

[aλ1aλ2a]the rest of the matrix just has to be a scalar multiple of the first row.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-07Added 2605 answers

A rank 1 matrix has a one-dimensional column space. Every column is a multiple of some fixed vector. To construct a 4×3 matrix, choose any nonzero vector in R4 , and use it for one column. Choose any multiples of the vector for the other two columns.

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