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Chapter 4: Q 243 (page 458)

Evaluate each determinant by expanding by minors along the first row.

13-25-640-2-1

Short Answer

Expert verified

The required value of the determinant is49

Step by step solution

01

Step 1. Given information

The determinant is13-25-640-2-1

02

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

13-25-640-2-1=1-64-2-1-3540-1-25-60-2=1[(-6)(-1)-(4)(-2)]-3[(5)(-1)-(4)(0)]-2[(5)(-2)-(-6)(0)]=1[14]-3[-5]-2[-10]=14+15+20=49

03

Step 3. Required answer

The required value of the determinant is49

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