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Which do you find easier? 3 1 (₁ - ( ) -- (3) (a) A = B = -1 1 1₁- (b) A = ()--(²3) B = -2 15 2 2-2

Which do you find easier? 3 1 (₁ - ( ) -- (3) (a) A = B = -1 1 1₁- (b) A = ()--(²3) B = -2 15 2 2-2

Advanced Engineering Mathematics
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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4. For the following pairs of matrices A and B, compute the product AB in two ways: • Use the definition of matrix multiplication (from chapter 2.1 and class) by computing the columns of AB separately. Clearly show what matrices and vectors you multiplied to obtain each column of AB. (See example 3, chapter 2.1). • Use the row-column rule (chapter 2.1, page 98 of 5th edition). Clearly show what arith- metic operations you used to compute each entry of AB. (See example 5, chapter 2.1). Which do you find easier? 1 5 --- ()--(-3) (a) A = 6 B 0 1 -4 2 -1 --( :-))---(273) = B 1 1 5 (b) A:
Transcribed Image Text:4. For the following pairs of matrices A and B, compute the product AB in two ways: • Use the definition of matrix multiplication (from chapter 2.1 and class) by computing the columns of AB separately. Clearly show what matrices and vectors you multiplied to obtain each column of AB. (See example 3, chapter 2.1). • Use the row-column rule (chapter 2.1, page 98 of 5th edition). Clearly show what arith- metic operations you used to compute each entry of AB. (See example 5, chapter 2.1). Which do you find easier? 1 5 --- ()--(-3) (a) A = 6 B 0 1 -4 2 -1 --( :-))---(273) = B 1 1 5 (b) A:
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