Х CA-AC=1B 0 1 0 0-i 0 1 1 3. Given the matrices A = 1 0 1 B = i 0 -i √2 0 1 0 √2 0 i 0 !), and C 10 0 and C = 00 0 00 show that where is a unit matrix. AB BA iC BC CB iA CA-AC=iB A² + B² + C² = 21 X Gauth

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.6: Matrices
Problem 9E
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Х
CA-AC=1B
0
1
0
0-i
0
1
1
3. Given the matrices A =
1 0
1
B =
i 0
-i
√2
0
1
0
√2
0 i
0
!), and C
10 0
and C =
00 0
00
show that
where is a unit matrix.
AB BA iC
BC CB iA
CA-AC=iB
A² + B² + C² = 21
X Gauth
Transcribed Image Text:Х CA-AC=1B 0 1 0 0-i 0 1 1 3. Given the matrices A = 1 0 1 B = i 0 -i √2 0 1 0 √2 0 i 0 !), and C 10 0 and C = 00 0 00 show that where is a unit matrix. AB BA iC BC CB iA CA-AC=iB A² + B² + C² = 21 X Gauth
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