3. (a) Create two matrices A and B: A = - (1 ²₁). 4 - Compute the matrices C₁ (-46 3²) A + B and C2 = A - B. =

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
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In the following questions you need to import functions from Numpy. For example the computation of matrix determinants can be done with the help of the function det of the library numpy.linalg.

Please list the commands required for the function to work 

The first photo is 3a. The other photo has the remaining questions.

3.
(a)
Create two matrices A and B:
2
4
4- (1²). B-(²₁ 31²)
A
=
4
-
Compute the matrices C₁
=
A + B and C2 = A - B.
Transcribed Image Text:3. (a) Create two matrices A and B: 2 4 4- (1²). B-(²₁ 31²) A = 4 - Compute the matrices C₁ = A + B and C2 = A - B.
(b)
(c)
(d)
(e)
Compute the matrix products D₁ = A · B and D2 = B · A.
Using element by element operations, compute the matrix F whose elements are
1/3
obtained as follows: Fij = Bij + AijB¹/³.
Are A and B singular? If no, compute their inverse.
Compute the eigenvalues of B. Comment in light of your previous answer.
Transcribed Image Text:(b) (c) (d) (e) Compute the matrix products D₁ = A · B and D2 = B · A. Using element by element operations, compute the matrix F whose elements are 1/3 obtained as follows: Fij = Bij + AijB¹/³. Are A and B singular? If no, compute their inverse. Compute the eigenvalues of B. Comment in light of your previous answer.
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Please do question d and e. It follows from a, b and c

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