Other
DSC2605 ASSIGNMENT 1 SEM1 2023
- Institution
- University Of South Africa (Unisa)
This document contains DSC2605 ASSIGNMENT1 SEM1 solutions. Clear step by step calculations and explanations are provided.
[Show more]
Content preview
DSC2605ASSIGNMENT 1
2023
,Solution:
1.1).
a).
𝑆𝑖𝑛𝑐𝑒 𝑡ℎ𝑒 𝑠𝑖𝑧𝑒 𝑜𝑓 𝑡ℎ𝑒 𝑚𝑎𝑡𝑟𝑖𝑥 𝐴 𝑖𝑠 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑡 𝑓𝑟𝑜𝑚 𝑡ℎ𝑎𝑡 𝑜𝑓 𝑚𝑎𝑡𝑟𝑖𝑥 𝐵, 𝑡ℎ𝑒 𝑓𝑜𝑙𝑙𝑜𝑤𝑖𝑛𝑔 𝑜𝑝𝑒𝑟𝑎𝑡𝑖𝑜𝑛
𝑐𝑎𝑛 𝑛𝑜𝑡 𝑏𝑒 𝑝𝑒𝑟𝑓𝑜𝑟𝑚𝑒𝑑
𝑨 − 2𝑩
b).
−5 10
−2𝑩 = −2 [−3 6 ]
1 −2
, −5(−2) 10(−2)
= [−3(−2) 6(−2) ]
1(−2) −2(−2)
10 −20
= [ 6 −12]
−2 4
c).
1 −1 2 −5 10
𝐴𝐵 = [−1 2 −1] [−3 6 ]
2 −1 6 1 −2
−5 + 3 + 2 10 − 6 − 4
=[ 5−6−1 −10 + 12 + 2]
−10 + 3 + 6 20 − 6 − 12
0 0
= [−2 4]
−1 2
d).
𝑆𝑖𝑛𝑐𝑒 𝑡ℎ𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑐𝑜𝑙𝑢𝑚𝑛𝑠 𝑜𝑓 𝑚𝑎𝑡𝑟𝑖𝑥 𝐵 𝑎𝑟𝑒 𝑛𝑜𝑡 𝑒𝑞𝑢𝑎𝑙 𝑡𝑜 𝑡ℎ𝑒 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑟𝑜𝑤𝑠 𝑜𝑓 𝐴,
𝑡ℎ𝑒 𝑜𝑝𝑒𝑟𝑎𝑡𝑖𝑜𝑛 𝐴𝐵 𝑖𝑠 𝑛𝑜𝑡 𝑝𝑜𝑠𝑠𝑖𝑏𝑙𝑒.
1.2).
1 −1 2 −5 10
[𝐴|𝐵] = [−1 2 −1| −3 6 ]
2 −1 6 1 −2
1 0 0 −5 10
[𝐼3 |𝐵] = [0 1 0| −3 6 ]
0 0 1 1 −2
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through EFT, credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying this summary from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller jctutor0814378595. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy this summary for R100,00. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
53022 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy summaries for 14 years now