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Chapter 4: Q 242 (page 458)

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

-2-3-45-67-120

Short Answer

Expert verified

The required value of the determinant is33

Step by step solution

01

Step 1. Given information

The determinant is-2-3-45-67-120

02

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

-2-3-45-67-120=-2-6720-(-3)57-10-45-6-12=-2[(-6)(0)-(7)(2)]+3[(5)(0)-(7)(-1)]-4[(5)(2)-(-6)(-1)]=-2[-14]+3[7]-4[4]=28+21-16=33

03

Step 3. Required answer

The required value of the determinant is33

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