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Chapter 4: Q 244 (page 458)

Evaluate each determinant by expanding by minors.

-5-1-440-32-26

Short Answer

Expert verified

The required value of the determinant is92

Step by step solution

01

Step 1. Given information

The determinant is-5-1-440-32-26

02

Step 2. Expand by minors along the first row to evaluate determinant 

-5-1-440-32-26=-50-3-26-(-1)4-326-4402-2=-5[(0)(6)-(-3)(-2)]-(-1)[(4)(6)-(-3)(2)]-4[(4)(-2)-(0)(2)]=-5[-6]+1[30]-4[-8]=30+30+32=92

03

Step 3. Required information

The required value of the determinant is92

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