please help step by step and with a final code to understand thank you

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question

please help step by step and with a final code to understand thank you 

Problem#7:
Given the matrices:
4
-2 1
6
9
-4
A= 6 8 -5 B = 7 5
3
7 9 10
-8 2 1
Write TensorFlow code to verify the following properties:
a. Associative property
A(B+C) = AB + AC
[[-31 -13 -7]
[173 147 -25]
[117 57 112]], shape=(3, 3), dtype=int32)
-4
C = 10
3
Both sides of the above equation will evaluate to the following matrix.
Ctf.Tensor(
b. Distributive property
(AB)C = A(BC)
-5 27
6 1
-98
Both sides of the above equation will evaluate to the following matrix.
Ctf.Tensor(
[[ 209 347 -136]
[297 -111 308]
[1207 562 250]], shape=(3, 3), dtype=int32)
Please notice that the matrix multiplication operation defined in Problem#7 is 'Matrix Product'
(not element wise matrix multiplication). The matrix multiplication function in TensorFlow library
is 'matmul'.
Element wise matrix multiplication
In mathematics, the Hadamard product is a binary operation that takes two matrices of the
same dimensions and produces another matrix of the same dimension as the operands where
each element i, j is the product of elements i, j of the original two matrices. It should not be
confused with the more common matrix product.
Matrix Product
In mathematics, matrix multiplication is a binary operation that produces a matrix from two
matrices. For matrix multiplication, the number of columns in the first matrix must be equal to
the number of rows in the second matrix. The result matrix, known as the matrix product, has
the number of rows of the first and the number of columns of the second matrix.
Transcribed Image Text:Problem#7: Given the matrices: 4 -2 1 6 9 -4 A= 6 8 -5 B = 7 5 3 7 9 10 -8 2 1 Write TensorFlow code to verify the following properties: a. Associative property A(B+C) = AB + AC [[-31 -13 -7] [173 147 -25] [117 57 112]], shape=(3, 3), dtype=int32) -4 C = 10 3 Both sides of the above equation will evaluate to the following matrix. Ctf.Tensor( b. Distributive property (AB)C = A(BC) -5 27 6 1 -98 Both sides of the above equation will evaluate to the following matrix. Ctf.Tensor( [[ 209 347 -136] [297 -111 308] [1207 562 250]], shape=(3, 3), dtype=int32) Please notice that the matrix multiplication operation defined in Problem#7 is 'Matrix Product' (not element wise matrix multiplication). The matrix multiplication function in TensorFlow library is 'matmul'. Element wise matrix multiplication In mathematics, the Hadamard product is a binary operation that takes two matrices of the same dimensions and produces another matrix of the same dimension as the operands where each element i, j is the product of elements i, j of the original two matrices. It should not be confused with the more common matrix product. Matrix Product In mathematics, matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. The result matrix, known as the matrix product, has the number of rows of the first and the number of columns of the second matrix.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

please help step to step with a final code to understand thank you

Problem#7:
Given the matrices:
4
-2 1
6
9
-4
A= 6 8 -5 B = 7 5
3
7 9 10
-8 2 1
Write TensorFlow code to verify the following properties:
a. Associative property
A(B+C) = AB + AC
[[-31 -13 -7]
[173 147 -25]
[117 57 112]], shape=(3, 3), dtype=int32)
-4
C = 10
3
Both sides of the above equation will evaluate to the following matrix.
Ctf.Tensor(
b. Distributive property
(AB)C = A(BC)
-5 27
6 1
-98
Both sides of the above equation will evaluate to the following matrix.
Ctf.Tensor(
[[ 209 347 -136]
[297 -111 308]
[1207 562 250]], shape=(3, 3), dtype=int32)
Please notice that the matrix multiplication operation defined in Problem#7 is 'Matrix Product'
(not element wise matrix multiplication). The matrix multiplication function in TensorFlow library
is 'matmul'.
Element wise matrix multiplication
In mathematics, the Hadamard product is a binary operation that takes two matrices of the
same dimensions and produces another matrix of the same dimension as the operands where
each element i, j is the product of elements i, j of the original two matrices. It should not be
confused with the more common matrix product.
Matrix Product
In mathematics, matrix multiplication is a binary operation that produces a matrix from two
matrices. For matrix multiplication, the number of columns in the first matrix must be equal to
the number of rows in the second matrix. The result matrix, known as the matrix product, has
the number of rows of the first and the number of columns of the second matrix.
Transcribed Image Text:Problem#7: Given the matrices: 4 -2 1 6 9 -4 A= 6 8 -5 B = 7 5 3 7 9 10 -8 2 1 Write TensorFlow code to verify the following properties: a. Associative property A(B+C) = AB + AC [[-31 -13 -7] [173 147 -25] [117 57 112]], shape=(3, 3), dtype=int32) -4 C = 10 3 Both sides of the above equation will evaluate to the following matrix. Ctf.Tensor( b. Distributive property (AB)C = A(BC) -5 27 6 1 -98 Both sides of the above equation will evaluate to the following matrix. Ctf.Tensor( [[ 209 347 -136] [297 -111 308] [1207 562 250]], shape=(3, 3), dtype=int32) Please notice that the matrix multiplication operation defined in Problem#7 is 'Matrix Product' (not element wise matrix multiplication). The matrix multiplication function in TensorFlow library is 'matmul'. Element wise matrix multiplication In mathematics, the Hadamard product is a binary operation that takes two matrices of the same dimensions and produces another matrix of the same dimension as the operands where each element i, j is the product of elements i, j of the original two matrices. It should not be confused with the more common matrix product. Matrix Product In mathematics, matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns in the first matrix must be equal to the number of rows in the second matrix. The result matrix, known as the matrix product, has the number of rows of the first and the number of columns of the second matrix.
Solution
Bartleby Expert
SEE SOLUTION
Knowledge Booster
Web Page
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education