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What does the MATLAB expression x = A\b do?

easy📝 Conceptual Q11 of 15
MATLAB - Linear Algebra
What does the MATLAB expression x = A\b do?
ASolves the linear system Ax = b for x
BCalculates the inverse of matrix A
CMultiplies matrix A by vector b
DTransposes matrix A and multiplies by b
Step-by-Step Solution
Solution:
  1. Step 1: Understand the expression A\b

    The operator \ in MATLAB is used to solve linear systems of the form Ax = b.
  2. Step 2: Identify the purpose of A\b

    It finds the vector x that satisfies the equation Ax = b without explicitly calculating the inverse of A.
  3. Final Answer:

    Solves the linear system Ax = b for x -> Option A
  4. Quick Check:

    A\b solves Ax = b [OK]
Quick Trick: Remember: A\b solves Ax = b directly [OK]
Common Mistakes:
  • Confusing A\b with matrix multiplication
  • Thinking it calculates inverse of A
  • Using b\A instead of A\b

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