**Is This a Linear Transformation? | T(x,y,z) = (x−y, x−z) | Linear Algebra**

📘 Linear Transformation Verification | B.Sc. Mathematics | Linear Algebra Can you verify whether the following mapping is a linear transformation? [ T(x,y,z)=(x-y,\ x-z) ] In this video, we verify that the given mapping is a Linear Transformation using the fundamental properties of linear algebra. ✅ Understand the given transformation. ✅ Verify the addition property. ✅ Verify the scalar multiplication property. ✅ Learn an important problem for B.Sc. Mathematics examinations. Key Concept: A mapping (T\to W) is a linear transformation if (T(u+v)=T(u)+T(v)) (T(au)=aT(u)) 🎓 This problem is useful for B.Sc. Mathematics, Degree Mathematics, and Linear Algebra students. 📌 Subscribe to Infinite Maths for more mathematical definitions, theorems, proofs, and solved problems. 👍 Like, Share, and Subscribe! #LinearTransformation #LinearAlgebra #BScMathematics #VectorSpaces #InfiniteMaths