Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![MATRIX MULTIPLICATION - THE PRODUCT OF TWO MATRICES
Conditions for matrix multiplication:
Example 13
order of 1st matrix
mxn
+
Let A ( 3 ) and B-[3]
B=
Example 14 Let A =
AB
BA
AC
CA
CD
DC
For matrix multiplication to be defined:
BE
ED
Are the following matrix products defined? What will the order of the product matrix be?
Matrix product
defined undefined
order
DE
order
must be the same
The order of the "answer" matrix is mx p
Find AB and BA if they exist.
2nd matrix
nx p
=[35₂] = [₂] = [2²], D = [12 -3], E =
- A
8 | Page](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2ad6f6b-c489-48ba-b53b-a9acb582a8af%2F86c30be7-8407-4610-bf09-41b559ddf44d%2F8pnhnpm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:MATRIX MULTIPLICATION - THE PRODUCT OF TWO MATRICES
Conditions for matrix multiplication:
Example 13
order of 1st matrix
mxn
+
Let A ( 3 ) and B-[3]
B=
Example 14 Let A =
AB
BA
AC
CA
CD
DC
For matrix multiplication to be defined:
BE
ED
Are the following matrix products defined? What will the order of the product matrix be?
Matrix product
defined undefined
order
DE
order
must be the same
The order of the "answer" matrix is mx p
Find AB and BA if they exist.
2nd matrix
nx p
=[35₂] = [₂] = [2²], D = [12 -3], E =
- A
8 | Page
![How to multiply Matrices:
Multiplying is a very tedious and error prone process. We will learn how to do it by hand, however we will mostly use
the calculator to multiply matrices for us.
Row 1 in the first matrix multiplies Column 1 in the second. The elements are multiplied in pairs and then added
together.
Then Row 1 in the first matrix multiplies Column 2 in the second. The result goes in position row 1, col 2 in the product
matrix.
Each row in the first matrix multiplies each column in the second.
2
L3
1 2
I:
5L4
0
[-530-3]
Example 15
Multiply by hand and then check with calculator
5
6
-4
4 7
9
W N Y N
2
-7
2
5.
-3
9| Page](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2ad6f6b-c489-48ba-b53b-a9acb582a8af%2F86c30be7-8407-4610-bf09-41b559ddf44d%2Fnks3jw8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:How to multiply Matrices:
Multiplying is a very tedious and error prone process. We will learn how to do it by hand, however we will mostly use
the calculator to multiply matrices for us.
Row 1 in the first matrix multiplies Column 1 in the second. The elements are multiplied in pairs and then added
together.
Then Row 1 in the first matrix multiplies Column 2 in the second. The result goes in position row 1, col 2 in the product
matrix.
Each row in the first matrix multiplies each column in the second.
2
L3
1 2
I:
5L4
0
[-530-3]
Example 15
Multiply by hand and then check with calculator
5
6
-4
4 7
9
W N Y N
2
-7
2
5.
-3
9| Page
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