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3) For Boolean matrices X and Y, under what conditions does X V Y = X ^ Y? = Consider the 1 × 1 Boolean matrices X and Y. The only times X V Y will equal X Y are when X Y = 1 or X = Y = 0. This principal can be extended to any size matrices, and since ✓ and ^ operations in matrices are element- wise, the conditions under which X ✓ Y will equal X ^ Y for N × M Boolean matrices X and Y are when xij = Yij = 1 or Xij = Yij = 0, with ij being the coordinates of the elements.

3) For Boolean matrices X and Y, under what conditions does X V Y = X ^ Y? = Consider the 1 × 1 Boolean matrices X and Y. The only times X V Y will equal X Y are when X Y = 1 or X = Y = 0. This principal can be extended to any size matrices, and since ✓ and ^ operations in matrices are element- wise, the conditions under which X ✓ Y will equal X ^ Y for N × M Boolean matrices X and Y are when xij = Yij = 1 or Xij = Yij = 0, with ij being the coordinates of the elements.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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This is a practice question from my Discrete Mathematical Structures course.

Could you please check my work/reasoning here? Thank you.

3) For Boolean matrices X and Y, under what conditions does X V Y = X ^ Y? Consider the 1 × 1 Boolean matrices X and Y. The only times X ✓ Y will equal X A Y are when X = Y = 1 or X = Y = 0. This principal can be extended to any size matrices, and since ✓ and ^ operations in matrices are element- wise, the conditions under which X V Y will equal X ^ Y for N X M Boolean matrices X and Y are when x₁ = Yij = 1 or Xij = Yij = 0, with ij being the coordinates of the elements.
Transcribed Image Text:3) For Boolean matrices X and Y, under what conditions does X V Y = X ^ Y? Consider the 1 × 1 Boolean matrices X and Y. The only times X ✓ Y will equal X A Y are when X = Y = 1 or X = Y = 0. This principal can be extended to any size matrices, and since ✓ and ^ operations in matrices are element- wise, the conditions under which X V Y will equal X ^ Y for N X M Boolean matrices X and Y are when x₁ = Yij = 1 or Xij = Yij = 0, with ij being the coordinates of the elements.
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