How to Multiply 4x4 Matrices Using a 3x3 Calculator?

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SUMMARY

To multiply two 4x4 matrices using a calculator that only supports 3x3 matrix multiplication, one can break down the 4x4 matrices into smaller 3x3 and 1x1 components. This method involves partitioning the matrices into blocks, allowing for the multiplication of the 3x3 submatrices and then combining the results. The discussion emphasizes the need for a systematic approach to reduce the complexity of the multiplication process while utilizing the available calculator effectively.

PREREQUISITES
  • Understanding of matrix multiplication principles
  • Familiarity with 3x3 and 4x4 matrix structures
  • Basic knowledge of block matrix multiplication
  • Access to a calculator capable of performing 3x3 matrix operations
NEXT STEPS
  • Research block matrix multiplication techniques
  • Learn about matrix partitioning methods for larger matrices
  • Explore online matrix calculators that support larger dimensions
  • Study the mathematical properties of matrix operations
USEFUL FOR

Students, mathematicians, and anyone needing to perform matrix operations with limited calculator capabilities, particularly those working with linear algebra concepts.

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i am given two matrices 4X4

which i need to multiply by one another

but in my calculator i can multiply matrices only 3X3

how can i use this maximum 3X3 matrices multiplication
in order to calculate the multiplication of two 4X4 matrices
??
(i know how to multiply matrices in theory but i want to shorten the process)

my calculator inputs matrices till m<=3 n<=3

i can't multiply 4X4 matrices one by one another
with the help of my calculator.

is there any mathematical methods of solving this without doing the formal way?

using smaller multiplications which could be done in my calculator
 
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