My Learning Cart
?
Categories
Account

If A is a 3x3 matrix and B is a 3x3 matrix, what is the maximum number of non-ze

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If A is a 3x3 matrix and B is a 3x3 matrix, what is the maximum number of non-zero elements in A + B? (2021)

Options:

  1. 9
  2. 6
  3. 3
  4. 0

Correct Answer: 9

Exam Year: 2021

Solution: 

The maximum number of non-zero elements in the sum of two matrices occurs when all elements of both matrices are non-zero. Therefore, A + B can have a maximum of 9 non-zero elements.

If A is a 3x3 matrix and B is a 3x3 matrix, what is the maximum number of non-ze

Practice Questions

Q1
If A is a 3x3 matrix and B is a 3x3 matrix, what is the maximum number of non-zero elements in A + B? (2021)
  1. 9
  2. 6
  3. 3
  4. 0

Questions & Step-by-Step Solutions

If A is a 3x3 matrix and B is a 3x3 matrix, what is the maximum number of non-zero elements in A + B? (2021)
  • Step 1: Understand that A and B are both 3x3 matrices. This means each matrix has 3 rows and 3 columns.
  • Step 2: Calculate the total number of elements in one 3x3 matrix. Since there are 3 rows and 3 columns, the total is 3 * 3 = 9 elements.
  • Step 3: Recognize that each element in matrix A can be either zero or non-zero, and the same applies to matrix B.
  • Step 4: To find the maximum number of non-zero elements in the sum A + B, we need to consider the best-case scenario where all elements in both matrices are non-zero.
  • Step 5: If all 9 elements in matrix A are non-zero and all 9 elements in matrix B are also non-zero, then when we add A and B together, each of the 9 elements in A + B will also be non-zero.
  • Step 6: Therefore, the maximum number of non-zero elements in A + B is 9.
  • Matrix Addition – Understanding how to add two matrices and the implications for the number of non-zero elements.
  • Non-zero Elements – Recognizing that the maximum number of non-zero elements in the sum of two matrices is determined by the individual non-zero elements in each matrix.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks