Linear Algebra Problem: Finding the Solution with Inverse Multiplication

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SUMMARY

The discussion centers on solving a linear algebra problem involving matrix operations, specifically using inverse multiplication. The user initially subtracted the matrix [6 -7; -1 -2] from both sides of an equation and then attempted to multiply by the inverse of the matrix [1 8; -5 -3]. The user identified a mistake in their mental math during the process, leading to confusion about the solution.

PREREQUISITES
  • Understanding of matrix operations, including addition and subtraction
  • Knowledge of calculating matrix inverses
  • Familiarity with linear algebra concepts
  • Ability to perform mental math accurately
NEXT STEPS
  • Study the process of finding the inverse of a 2x2 matrix
  • Practice solving linear equations using matrix subtraction
  • Learn about the properties of matrix multiplication
  • Review common pitfalls in mental math for matrix operations
USEFUL FOR

Students studying linear algebra, educators teaching matrix operations, and anyone looking to improve their skills in solving matrix equations.

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Homework Statement



5s3t1.png


The Attempt at a Solution



To get to the stuff in the picture, I subtracted [ 6 -7; -1 -2] from both sides and then multiplied on the left by the inverse of [1 8; -5 -3]

Where'd I go wrong?
 
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wait. just verified that my mental math sucks. found the error.
 

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