Let A ∈ Matm,n(F ) and B ∈ Matn,l(F ) denote matrices. Show that the i'th column in the product AB, for i = 1,2,...,l, is equal to A · bi, where bi denotes the i'th column in B. How can I show that this is true?
Let A ∈ Matm,n(F ) and B ∈ Matn,l(F ) denote matrices. Show that the i'th column in the product AB, for i = 1,2,...,l, is equal to A · bi, where bi denotes the i'th column in B. How can I show that this is true?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let A ∈ Matm,n(F ) and B ∈ Matn,l(F ) denote matrices.
Show that the i'th column in the product AB, for i = 1,2,...,l, is equal to A · bi, where bi denotes the i'th column in B.
How can I show that this is true?
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