Chapter 4 Determinants and Matrices Ex 4.2

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Chapter 4 Determinants and Matrices Ex 4.2

Question 1.
Without expanding, evaluate the following determinants.

Solution:

Question 2.

Solution:

Question 3.
Using properties of determinant, show that

= -2[0(ab – 0) – a(bc – 0) + b(0 – ac)]
= -2(0 – abc – abc)
= -2(-2abc)
= 4abc = R.H.S.

ii.

Question 4.
Solve the following equations.

Question 5.

Solution:

∴ x = 0 or 12 – x = 0
∴ x = 0 or x = 12

Question 6.