Combine the methods of row reduction and

Chapter 3, Problem 11E

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QUESTION:

Problem 11E

Combine the methods of row reduction and cofactor expansion to compute the determinants in Exercises

Questions & Answers

QUESTION:

Problem 11E

Combine the methods of row reduction and cofactor expansion to compute the determinants in Exercises

ANSWER:

Solution 11E

Consider the determinant:

First use row replacement to create zeros in the second column. Add -2 times the first row to the fourth row.

Since three elements of second column is zero, expand down the second column.

For cofactor expansion across second column, determinant of 4x4 matrix is

det A= a12 C12 + a22&nbsp

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