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(iv)|Q¹PQ|, (v) |P-¹QP|.

(iv)|Q¹PQ|, (v) |P-¹QP|.

Advanced Engineering Mathematics
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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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
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
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|.
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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