In Exercises 16, find the principal submatrices of the givenmatrix. A =3 55 7

Linear Transformations Monday, October 24, 2016 3:36 PM Linear transformationsare special maps between R and R . ▯ ▯ n m ▯:▯ → ▯ is a function that takes in a vector in R and output a vectorin R . Theorem ▯ ▯ n ▯:▯ → ▯ is a linear transformationif for vectors u and v in R with a scalar c if both are true: 1. T(cu) = cT(u) 2. T(u + v) = T(u) + T(v) ▯ Q: Is ▯:▯ → ▯ defined by T(▯ ▯) = ▯ − ▯ a linear transformation ▯ A: YES! ▯ ▯ ▯ Q: Is ▯:▯ → ▯ defined by T(▯▯▯) = ▯▯ a linear transformation A: NO! ▯ Q: Is ▯:▯ → ▯ defined by T(▯▯▯)