Using the theorem on determinants, prove the ff. determinant is true |1a а2A = |1 b b²b b23 (b — а)(с - а)(с — b)%3Dc2

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|1 a а2 A = |1 b b² b b23 (b — а)(с - а)(с — b) %3D c2

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter2: Matrices

Section2.2: Properties Of Matrrix Operations

Problem 13E: Solve for X in the Equation, given A=-401-532 and B=12-2144 a 3X+2A=B b 2A5B=3X c X-3A+2B=0 d...

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Question

Using the theorem on determinants, prove the ff. determinant is true

|1
a а2
A = |1 b b²
b b23 (b — а)(с - а)(с — b)
%3D
c2

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