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Chapter 4: Q 4.93 (page 453)

Evaluate the determinant 3-240-1-223-1, by expanding by minors along the first row.

Short Answer

Expert verified

The value of the determinant is 37.

Step by step solution

01

Step 1. Given information 

The given determinant is

3-240-1-223-1

02

Step 2. Calculation

Expand by minors along the first row

3-1-23-1-(-2)0-22-1+40-123=3(1-(-2脳3))+2((0脳-1)-(-2脳2))+4(3脳0-(-1脳2))=3(1+6)+2(0+4)+4(0+2)=3脳7+2脳4+4脳2=21+8+8=37

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