Suppose that we have 2 × 2 matrices A, B, C, D, E, F and G, and that A B DE F G ] = 14 where is the zero 2 × 2 matrix. Express D, E, F and G in terms of A, B and C. Explain your reasoning.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.5: Determinants
Problem 84E
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Suppose that we have 2 × 2 matrices A, B, C, D, E, F and G, and that
A B
DE
F G
]
= 14
where is the zero 2 × 2 matrix. Express D, E, F and G in terms of A, B and C. Explain your
reasoning.
Transcribed Image Text:Suppose that we have 2 × 2 matrices A, B, C, D, E, F and G, and that A B DE F G ] = 14 where is the zero 2 × 2 matrix. Express D, E, F and G in terms of A, B and C. Explain your reasoning.
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