Matrix algebra - matrix equation

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Discussion Overview

The discussion revolves around a matrix equation involving the matrix A and the identity matrix I. Participants are exploring how to demonstrate the relationship A^2 = 11A - 18I, with a focus on matrix multiplication and algebraic manipulation.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant presents a matrix A and an identity matrix I, asking for assistance in proving the equation A^2 = 11A - 18I.
  • Another participant questions the original poster's understanding of matrix multiplication, suggesting they review external resources on the topic.
  • A third participant introduces a separate mathematical question regarding a simple algebraic equation, drawing a parallel to the original matrix problem.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the approach to proving the matrix equation, and the discussion includes varying levels of understanding regarding matrix multiplication.

Contextual Notes

There may be missing assumptions regarding the properties of matrix A and the context of the equation, as well as unresolved steps in the matrix multiplication process.

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A=(5, 4) I (1, 0)
(4,6) (0,1)

Those are matrix by the way.

How do I show A^2=11A-18I? I know I'm overlooking something, but i don't know what. Any tips would be helpful
 
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ah I am sorry, I meant to put this in the question section, please move!
 
Do you know how to multiply matrices? You may want to look at this link: http://www.purplemath.com/modules/mtrxmult.htm" .
 
Last edited by a moderator:
Let me ask you this.

Let x=3. How do you show that x^2=2x+3?
 

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