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Chapter 4: Q 4.90 (page 447)

Evaluate the determinant

(a)

-13-24(b)-7-3-50

Short Answer

Expert verified

Part (a). The value of the determinant is 2.

Part (b). The value of the determinant is -15.

Step by step solution

01

Part (a) Step 1. Given information

The given determinant is -13-24

02

Part (a) Step 2. Calculation

Firstly write the determinant

-13-24

Subtract the products of the diagonals

=(-1脳4)-(3脳-2)=-4-(-6)=2

Hence the determinant value is 2.

03

Part (b) Step 1. Given information.

The given determinant is -7-3-50

04

Part (b) Step 2. Calculation.

Firstly write the determinant

-7-3-50

Subtract the products of the diagonals,

localid="1645170808775" =(-7脳0)-(-3脳-5)=0-(15)=-15

Hence the determinant value is -15.

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