6) Let I denote the 2 x 2 identity matrix. (i) Given the equation: (1+24¹) 1 12 26 T (ii) Given the equation: (1+2A¯¹)² = = 1 3 24 find matrix A. find matrix A. [Hint: In both parts to this problem, perform operations to both sides of the equations to solve for A. ]

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 29CM
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6) Let I denote the 2 x 2 identity matrix.
- 1
(i) Given the equation:
(1+2 A¹)
T
(ii) Given the equation: (1 + 2 A¯¹)²
=
=
12
26
1 3
24
find matrix A.
find matrix A.
[Hint: In both parts to this problem, perform operations to both sides of the
equations to solve for A. ]
Transcribed Image Text:6) Let I denote the 2 x 2 identity matrix. - 1 (i) Given the equation: (1+2 A¹) T (ii) Given the equation: (1 + 2 A¯¹)² = = 12 26 1 3 24 find matrix A. find matrix A. [Hint: In both parts to this problem, perform operations to both sides of the equations to solve for A. ]
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