Maharashtra Board Class 11 Maths Part 1 Chapter 4 Determinants and Matrices Ex 4.2 Solution

Question 1.
Without expanding, evaluate the following determinants.


Solution:

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Question 2.

Solution:
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Question 3.
Using properties of determinant, show that
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= -2[0(ab – 0) – a(bc – 0) + b(0 – ac)]
= -2(0 – abc – abc)
= -2(-2abc)
= 4abc = R.H.S.

ii.
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Question 4.
Solve the following equations.
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Question 5.

Solution:
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∴ x = 0 or 12 – x = 0
∴ x = 0 or x = 12

Question 6.
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