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Chapter 4: Q 4.91 (page 449)

For the determinant 1-1402-1-2-33, find and then evaluate the minor of (a) a1 (b) b2 (c) c3

Short Answer

Expert verified

The minor of a1=3

The minor of b2=11

The minor of c3=2

Step by step solution

01

Step 1. Given information

The given determinant is

1-1402-1-2-33

02

Step 2. Calculation

(a) Eliminate the row and column that contains a1.

and write 2*2 determinant that remains

minorofa1=2-1-33byevaluating=(3脳2)-(-1脳-3)=6-3=3

(b) Eliminate the row and column that contains b2.

and write 2*2 determinant that remains

minorofb2=14-23byevaluating=(3脳1)-(4脳-2)=3-(-8)=3+8=11

(c) Eliminate the row and column that contains c3.

and write 2*2 determinant that remains

minorofc3=1-102byevaluating=(2脳1)-(-1脳0)=2-0=2

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