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

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter7: Systems Of Equations And Inequalities
Section7.7: Solving Systems With Inverses
Problem 1SE: In a previous section, we showed that matrix multiplication is not commutative, that is, ABBA in...
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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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