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What will MATLAB display after running this code?

medium📝 Predict Output Q5 of 15
MATLAB - Linear Algebra

What will MATLAB display after running this code?

M = [1 2 3; 0 4 5; 1 0 6];
detM = det(M);
detM
A12
B22
C1
D0
Step-by-Step Solution
Solution:
  1. Step 1: Calculate determinant of 3x3 matrix M

    Using expansion or MATLAB det function, det(M) = 1*(4*6 - 5*0) - 2*(0*6 - 5*1) + 3*(0*0 - 4*1) = 1*24 - 2*(-5) + 3*(-4) = 24 + 10 - 12 = 22.
  2. Step 2: Output the determinant value

    Variable detM holds 22, so MATLAB displays 22.
  3. Final Answer:

    22 -> Option B
  4. Quick Check:

    det(M) = 22 [OK]
Quick Trick: Use cofactor expansion for 3x3 determinant [OK]
Common Mistakes:
  • Incorrect sign in expansion
  • Wrong minor calculations
  • Mixing row and column elements

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