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Chapter 4: Q 4.92 (page 449)

For the determinant -2-1030-1-1-23, find and then evaluate the minor of (a) a2 (b) b3 (c) c2

Short Answer

Expert verified

The minor of a2=-3

The minor of b3=2

The minor of c2=3

Step by step solution

01

Step 1. Given information 

The given determinant is-2-1030-1-1-23

02

Step 2. Calculation

(a) Eliminate the row and column that contains a2.

and write 2*2 determinant that remains

minorofa2=-10-23byevaluating=(-1脳3)-(0脳-2)=-3+0=-3

(b) Eliminate the row and column that contains b3.

and write 2*2 determinant that remains

localid="1644432569383" minorofb3=-203-1byevaluating=(-1脳-2)-(0脳3)=2

(c) Eliminate the row and column that contains c2.

and write 2*2 determinant that remains

minorofc2=-2-1-1-2byevaluating=(-2脳-2)-(-1脳-1)=4-(1)=3

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