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What is the Total Number of 2 × 2 Matrices with Each Entry 0 Or 1? - Mathematics

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Question

What is the total number of 2 × 2 matrices with each entry 0 or 1?

Sum

Solution

In a 

\[2 \times 2\] matrix, the total number of elements are 4 and each entry can be written in 2 ways.

Number of ways in which 4 entries can be written =

\[4^2 = 16\]  [Applying the above property]
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Chapter 5: Algebra of Matrices - Exercise 5.6 [Page 64]

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RD Sharma Mathematics [English] Class 12
Chapter 5 Algebra of Matrices
Exercise 5.6 | Q 47 | Page 64

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