A matrix A € Rmxn can also be viewed as a vector, by stacking all its n columns into a single length-mn column. Let x € Rm, y € R" be two column vectors. Show that (xy, A) = x¹ Ay.

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 69E: Consider an mn matrix A and an np matrix B. Show that the row vectors of AB are in the row space of...
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Prob. 3 A matrix A € Rmxn can also be viewed as a vector, by stacking all its n columns into a single
length-mn column. Let x € R™, y ≤ R" be two column vectors. Show that
(xy, A) = x¹ Ay.
Transcribed Image Text:Prob. 3 A matrix A € Rmxn can also be viewed as a vector, by stacking all its n columns into a single length-mn column. Let x € R™, y ≤ R" be two column vectors. Show that (xy, A) = x¹ Ay.
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