Draw the cuts in A (2 by 3) and B (3 by 4) and AB to show how each of the four multiplication rules is really a block multiplication:(1) Matrix A times columns of B. Columns of AB(2) Rows of A times the matrix B. Rows of AB(3) Rows of A times columns of B. Inner products (numbers in AB)(4) Columns of A times rows of B. Outer products (matrices add to AB)
Draw the cuts in A (2 by 3) and B (3 by 4) and AB to show how each of the four multiplication rules is really a block multiplication:(1) Matrix A times columns of B. Columns of AB(2) Rows of A times the matrix B. Rows of AB(3) Rows of A times columns of B. Inner products (numbers in AB)(4) Columns of A times rows of B. Outer products (matrices add to AB)
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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Draw the cuts in A (2 by 3) and B (3 by 4) and AB to show how each of the four multiplication rules is really a block multiplication:
(1) Matrix A times columns of B. Columns of AB
(2) Rows of A times the matrix B. Rows of AB
(3) Rows of A times columns of B. Inner products (numbers in AB)
(4) Columns of A times rows of B. Outer products (matrices add to AB)
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