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  • Need Solution for R.D.Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 27 Maths Textbook Solution.

Need Solution for R.D.Sharma Maths Class 12 Chapter 4 Algebra of Matrices Exercise Multiple Choice Questions Question 27 Maths Textbook Solution.

Answers (1)

Answer: The correct option is (D), 512.

Given: The Matrix is of order 3\times 3

Solution:

\text { Let } A=\left[\begin{array}{lll} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33} \end{array}\right]

No. of elements = 9

Order = 3\times 3

Every item in this matrix can be filled in two ways either by 0 or by 1.

So, the number of possible matrices is = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2=512

Thus, the correct option is (D).

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