Question 2 over a field K. Let Mn(K) denotes the vector space of n x n matrices (c) Express g det f * ( [c d + ƒ]) + det ([a b]) + det ([a c)) d f as the determinant of a single 2 × 2 matrix in M2(R) in a manner that works for all a, b, c, d, e, f, g, ƒ Є R.

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Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
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Question 2
over a field K.
Let Mn(K) denotes the vector space of n x n matrices
Transcribed Image Text:Question 2 over a field K. Let Mn(K) denotes the vector space of n x n matrices
(c) Express
g
det
f
* ( [c d + ƒ]) + det ([a b]) + det ([a c))
d
f
as the determinant of a single 2 × 2 matrix in M2(R) in a manner that works for
all a, b, c, d, e, f, g, ƒ Є R.
Transcribed Image Text:(c) Express g det f * ( [c d + ƒ]) + det ([a b]) + det ([a c)) d f as the determinant of a single 2 × 2 matrix in M2(R) in a manner that works for all a, b, c, d, e, f, g, ƒ Є R.
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