(iv)|Q¹PQ|, (v) |P-¹QP|.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
I have a partial solution i just need the last 2 ones
![Step 1: given
IPI = -3
IQI = 4
P and Q are 4x4 matrices
Step 2: calculation
As per guidelines I will solve only first 3 part
Given
|P| = -3
IQI = 4
P and Q are 4x4 matrices
IPQI
according to property
|PQ| = |P||Q|
= |PQ| = -3x4
= |PQ| = -12
according to property
|PQ| = |P|Q|
50,
|p²| = |PPPPP| = |P||P||P||P||P| =[|P|]
P=[IPIT (-3) -243
c)
12Q1 = 2²|Q|
= 12Q1 = 2¹x4 = 64
Solution
|PQ| = -12
|p³|=-243
c)
12Q1 = 64](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63ed0b59-7e5f-493d-83e4-64fe10b2abd1%2Fdc691d7c-5ae2-4eb2-94e4-3451b1a0cac6%2Fp8dgv2r_processed.png&w=3840&q=75)
Transcribed Image Text:Step 1: given
IPI = -3
IQI = 4
P and Q are 4x4 matrices
Step 2: calculation
As per guidelines I will solve only first 3 part
Given
|P| = -3
IQI = 4
P and Q are 4x4 matrices
IPQI
according to property
|PQ| = |P||Q|
= |PQ| = -3x4
= |PQ| = -12
according to property
|PQ| = |P|Q|
50,
|p²| = |PPPPP| = |P||P||P||P||P| =[|P|]
P=[IPIT (-3) -243
c)
12Q1 = 2²|Q|
= 12Q1 = 2¹x4 = 64
Solution
|PQ| = -12
|p³|=-243
c)
12Q1 = 64
Transcribed Image Text:Let P and Q be 4 x 4 matrices with |P| = -3, Q = 4. Compute
(i) |PQ|,
(ii) P5,
(iii) |2Q,
(iv) Qt PQ|,
(v) |P-¹QP|.
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