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Chapter 4: Q 4.96 (page 451)

Evaluate the determinant -2鈭�1鈭�3-1224鈭�40by expanding by minors.

Short Answer

Expert verified

The value of the determinant is -12.

Step by step solution

01

Step 1. Given information

The given determinant is-2鈭�1鈭�3-1224鈭�40

02

Step 2. Calculation

Expand the determinant using second row.

Be careful with the signs

+-+-+-+-+-(-1)-1-3-40+2-2-340-2-2-14-4=1(-1脳0)-(-3脳-4)+2(-2脳0)-(-3脳4)-2(-2脳-4)-(-1脳4)=1(0-12)+2(+12)-2(8+4)=-12+24-24=-12

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