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Chapter 4: Q 4.94 (page 450)

Evaluate the determinant 3-2-22-14-10-3, by expanding by minors along the first row.

Short Answer

Expert verified

The value of the determinant is 7

Step by step solution

01

Step 1. Given information

The given determinant is3-2-22-14-10-3

02

Step 2. Calculation

Expand by minors along the first row

3-140-3-(-2)24-1-3-22-1-10=3(3-(4脳0))+2((2脳-3)-(-1脳4))-2(2脳0-(-1脳-1))=33]+[2(-6+4)]-[2(0-1)=33]-[4]+[2=9-4+2=7

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