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Chapter 4: Q 4.89 (page 447)

Evaluate the determinant

(a)5-32-4(b)-4-607

Short Answer

Expert verified

Part (a) The value of the determinant is -14.

Part (b) The value of the determinant is -28.

Step by step solution

01

Part (a). Step 1. Given information

The given determinant is5-32-4.

02

Part (a) Step 2. Calculation.

Firstly write the determinant

5-32-4

Subtract the products of the diagonals

localid="1658971311759" =(5脳-4)-(-3脳2)=-20-(-6)=-14

Hence the determinant value is -14.

03

Part (b) Step 1.Given information.

The given determinant is-4-607

04

Part (b)  Step 2. Calculation

Firstly write the determinant.

-4-607

Subtract the products of the diagonals.

=(7脳-4)-(0脳-6)=-28+0=-28

Hence the determinant value is -28.

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