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Chapter 4: Q. 388 (page 483)

In the following exercise, find and then evaluate the indicated minors

-1-324-2-1-20-3

Find the minor

a.a1b.b1c.c2

Short Answer

Expert verified

Part (a). The minor of a1is role="math" localid="1644584743255" -2-10-3

a1=6

Part (b). The minor of b1is 4-1-2-3

b1=-14

Part (c). The minor of c2is -1-3-20

c2=-6

Step by step solution

01

Step 1. Finding and evaluating the minors a1. 

To find minors we have to remove the rows and columns containing that element.

here, a1=-1.

Thus the minor of a1is:

role="math" localid="1644584753197" -2-10-3

role="math" localid="1644584763106" a1=-2-103a1=(-2脳-3)-(-1脳0)a1=6

02

Step 2.  Finding and evaluating the minors b1

To find minors we have to remove the rows and columns containing that element.

here, b1=-3

thus, the minors of b1:

role="math" localid="1644584985444" 4-1-2-3

b1=4脳(-3)-(-2)脳(-1)b1=-12-2b1=-14

03

Step 3. Finding and evaluating the minors c2

To find minors we have to remove the rows and columns containing that element.

here, c2=-1

The minor of c2is:

role="math" localid="1644585065458" -1-3-20

c2=-1脳0-(-3脳-2)c2=-6

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