The n × n matrix A =[aij] is called a diagonal matrix i

Chapter 2, Problem 14E

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QUESTION:

The n × n matrix A =[aij] is called a diagonal matrix i aij = 0 when i ? j. Show that the product of two n × n diagonal matrices is again a diagonal matrix. Give a simple rule for determining this product.

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QUESTION:

The n × n matrix A =[aij] is called a diagonal matrix i aij = 0 when i ? j. Show that the product of two n × n diagonal matrices is again a diagonal matrix. Give a simple rule for determining this product.

ANSWER:

Solution:Step 1: Let suppose the n × n matrix A =[aij] is called a diagonal matrix i aij = 0 when i j.

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