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Chapter 11: Q. 11 (page 740)

Find the value of the determinant.

3421-1512-2

Short Answer

Expert verified

3421-1512-2=10

Step by step solution

01

Step 1. Given information 

We have been given:

3421-1512-2

We have to find the value of this determinant.

02

Step 2. Use formula a11a12a13a21a22a23a31a32a33=a11a22a23a32a33-a12a21a23a31a33+a13a21a22a31a32.

3421-1512-2=3-152-2-4151-2+21-112

03

Step 3. Simplify

3-152-2-4151-2+21-112=3鈰�[(鈭�1)鈰�(鈭�2)鈭�2鈰�5]鈭�4鈰�[1鈰�(鈭�2)鈭�1鈰�5]+2鈰�[1鈰�2鈭�1鈰�(鈭�1)]=3鈰�(2鈭�10)鈭�4鈰�(鈭�2鈭�5)+2鈰�(2+1)=3鈰�(鈭�8)鈭�4鈰�(鈭�7)+2鈰�3=鈭�24+28+6=10

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