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The number of all possible matrices of order 3×3 with each entry 0 or 1 is : (A) 27 (B) 18 (C) 81 (D) 512 The correct answer is' D ' can anyone explain how?
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The number of all possible matrices of order 3×3 with each entry 0 or ...
Possible Matrices of Order 3x3 with Entries 0 or 1
To solve this problem, let's break it down step by step.
Step 1: Determine the number of choices for each entry
In a 3x3 matrix, each entry can either be 0 or 1. Therefore, there are 2 choices for each entry.
Step 2: Calculate the total number of matrices
To calculate the total number of matrices, we need to multiply the number of choices for each entry.
2 choices * 2 choices * 2 choices * 2 choices * 2 choices * 2 choices * 2 choices * 2 choices * 2 choices = 2^9 = 512
Therefore, the total number of possible matrices of order 3x3 with each entry 0 or 1 is 512.
Explanation:
In a 3x3 matrix, each entry can either be 0 or 1. This means that there are 2 choices for each entry. Since there are 9 entries in total, we need to multiply the number of choices for each entry. This can be done by raising 2 to the power of 9, which gives us 512.
Therefore, the correct answer is (D) 512.
To solve this problem, let's break it down step by step.
Step 1: Determine the number of choices for each entry
In a 3x3 matrix, each entry can either be 0 or 1. Therefore, there are 2 choices for each entry.
Step 2: Calculate the total number of matrices
To calculate the total number of matrices, we need to multiply the number of choices for each entry.
2 choices * 2 choices * 2 choices * 2 choices * 2 choices * 2 choices * 2 choices * 2 choices * 2 choices = 2^9 = 512
Therefore, the total number of possible matrices of order 3x3 with each entry 0 or 1 is 512.
Explanation:
In a 3x3 matrix, each entry can either be 0 or 1. This means that there are 2 choices for each entry. Since there are 9 entries in total, we need to multiply the number of choices for each entry. This can be done by raising 2 to the power of 9, which gives us 512.
Therefore, the correct answer is (D) 512.
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The number of all possible matrices of order 3×3 with each entry 0 or 1 is : (A) 27 (B) 18 (C) 81 (D) 512 The correct answer is' D ' can anyone explain how?
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The number of all possible matrices of order 3×3 with each entry 0 or 1 is : (A) 27 (B) 18 (C) 81 (D) 512 The correct answer is' D ' can anyone explain how? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The number of all possible matrices of order 3×3 with each entry 0 or 1 is : (A) 27 (B) 18 (C) 81 (D) 512 The correct answer is' D ' can anyone explain how? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of all possible matrices of order 3×3 with each entry 0 or 1 is : (A) 27 (B) 18 (C) 81 (D) 512 The correct answer is' D ' can anyone explain how?.
The number of all possible matrices of order 3×3 with each entry 0 or 1 is : (A) 27 (B) 18 (C) 81 (D) 512 The correct answer is' D ' can anyone explain how? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about The number of all possible matrices of order 3×3 with each entry 0 or 1 is : (A) 27 (B) 18 (C) 81 (D) 512 The correct answer is' D ' can anyone explain how? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The number of all possible matrices of order 3×3 with each entry 0 or 1 is : (A) 27 (B) 18 (C) 81 (D) 512 The correct answer is' D ' can anyone explain how?.
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