# The Number of all Possible Matrices of Order 3 × 3 with Each Entry 0 to 1 is

By BYJU'S Exam Prep

Updated on: September 25th, 2023

The number of all possible matrices of order 3 × 3 with each entry 0 to 1 is 512. A matrix is a rectangular array or table in mathematics that contains numbers, symbols, or expressions that are arranged in rows and columns to represent a mathematical object or a property of that object.

## Number of Possible Matrices of Order 3 × 3 with Each Entry 0 to 1

The total number of elements in a 3 × 3 matrix is 9 as 3 elements will be there in each row and 3 elements in each column. Now each element in the 3 × 3 matrix can be selected in two ways i.e. it can be either 0 or 1. Therefore all the 9 elements can be chosen in 29 ways which will be equal to 512. Hence, the required number of matrices is 512 which is the correct answer.

## Different Types of Matrices

There are different types of matrices such as:

• Row Matrix
• Column Matrix
• Square Matrix
• Rectangular Matrix
• Diagonal matrix
• Scalar Matrix
• Zero or Null Matrix
• Unit or Identity Matrix
• Upper Triangular Matrix
• Lower Triangular Matrix

Summary:

## The Number of all Possible Matrices of Order 3 × 3 with Each Entry 0 to 1 is

512 is the total number of possible matrices of order 3 × 3 with each entry 0 to 1. It can be determined by using the multiplication principle. There will be 9 elements in the matrices of order 3 × 3 wherein the 9 elements can be chosen in 29 ways which will be equal to 512.

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