[Solved] What will the following MATLAB code display? [X,Y] = meshgrid(-2:1:2, -2:1:2); Z = X.^2 - Y.^2; surf(X,Y,Z); | MATLAB

MATLAB - 3D Plotting and Visualization

What will the following MATLAB code display?

 [X,Y] = meshgrid(-2:1:2, -2:1:2);
 Z = X.^2 - Y.^2;
 surf(X,Y,Z);

AA flat plane where Z is constant

BA 3D surface shaped like a sphere

CA 3D surface showing a saddle shape

DAn error because of incorrect operators

Step-by-Step Solution

Solution:

Step 1: Understand the meshgrid and function
meshgrid creates X and Y grids from -2 to 2. Z = X squared minus Y squared forms a hyperbolic paraboloid (saddle shape).
Step 2: Interpret the surf plot
surf plots the surface defined by Z over X and Y, showing the saddle shape.
Final Answer:
A 3D surface showing a saddle shape -> Option C
Quick Check:
Z = X^2 - Y^2 forms saddle surface = B [OK]

Quick Trick: Recognize X^2 - Y^2 as saddle shape formula [OK]

Common Mistakes:

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