What is the Correct Combination of A's and B's for 2x2 Matrix Multiplication?

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SUMMARY

The discussion focuses on the correct method for multiplying two 2x2 matrices, specifically seeking the appropriate combinations of elements labeled as a's and b's. The user initially expressed confusion regarding the multiplication formula, questioning if the expression a1 * a2 + b1 * b2 + c1 * c2 + d1 * d2 was accurate. The conversation emphasizes the importance of clearly stating the problem and utilizing LaTeX for mathematical representation to facilitate better understanding and assistance.

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  • Understanding of 2x2 matrix multiplication
  • Familiarity with linear transformations
  • Basic knowledge of LaTeX for mathematical notation
  • Ability to formulate clear problem statements
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  • Study the properties of matrix multiplication
  • Learn how to represent matrices using LaTeX
  • Explore composite linear transformations in linear algebra
  • Practice solving matrix multiplication problems with different element combinations
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Students studying linear algebra, educators teaching matrix operations, and anyone looking to improve their understanding of matrix multiplication and linear transformations.

morbello
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wow what a day.ive got an a,b,c,d matrix mulitiplyed by an a,b,c,d.matrix and i want to know what combination off a's and b's gives the answer to the 2*2 * 2*2 question.

ive read its a1 *a2 b1*b2 c1*c2 d1*d2 is this right as when I've done it i have got a sum that is wrong.



The Attempt at a Solution



 
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sorry its a composit linear transformation I am looking for.
 
When you submit a question it should follow this format:

Homework Statement


What exactly is the problem you're trying to solve? Saying that you have "an a,b,c,d matrix mulitiplyed by an a,b,c,d.matrix and i want to know what combination off a's and b's gives the answer to the 2*2 * 2*2 question" is not a problem statement that anyone can do anything helpful with.

Homework Equations



The Attempt at a Solution


Show us what you have tried to do.
 
ok sorry I am not sure how to get the symbols on the screen will try again tommorow.
 
Try these. Click on either one to see the LaTeX script I used. You can copy and paste the script into your post.

\left[ <br /> \begin{array}{c c}<br /> a_1 &amp; b_1 \\<br /> c_1 &amp; d_1<br /> \end{array}\right ]

Here's another.

\left[ <br /> \begin{array}{c c}<br /> a_2 &amp; b_2 \\<br /> c_2 &amp; d_2<br /> \end{array}\right ]
 

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