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Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.6: Rules For Multiplication

Problem 26WE

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Question

Use either elementary row or column operations, or cofactor expansion, to find the determinant by hand. Then use a software program or a graphing utility to verify your answer.

Expert Solution

Step 1

Given,

Step 2

To find the determinant,

= - 1( 2(-1) - 0*1) - 3 ( 0(-1) - 0(1)) + 2 ((0)(1) - (2)(1))

= -1 (-2 -0 ) -3 (0 - 0) + 2( 0 -2)

= -1(-2) -3(0) + 2(-2)

= 2 + 0 - 4

= -2

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