Consider a reflection matrix A and a vector
a. Using the definition of a reflection, express
b. Express
c. Express
d. ¡f the
c. If the vector
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Chapter 2 Solutions
Linear Algebra With Applications
- Let T be a linear transformation from R2 into R2 such that T(1,1)=(2,3) and T(0,2)=(0,8). Find T(2,4).arrow_forwardFind a basis B for R3 such that the matrix for the linear transformation T:R3R3, T(x,y,z)=(2x2z,2y2z,3x3z), relative to B is diagonal.arrow_forwardLet T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.arrow_forward
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