Completely fill in the circles next to true statements For t

Completely fill in the circles next to true statements. For this page, you need not show any work. The codomain of the transformation T(x_1, x_2) = (2x_1 + x_2, 3x_2, 4x_2) is R^3. The set {(1, 0, 1, 0), (0, 1, 0, 1), (1, 1, 1, 1)} is a basis for a subspace of R^4. The matrix [.5 1 .5 0] is a regular stochastic matrix. If u and v are vectors in R^n, then |u middot v| lessthanorequalto ||u|| ||v||. An eigenvector can correspond to two distinct eigenvalues of the same matrix.

Solution

1)first statement is false

co-domain of given transformation is R^2

2)true

3)true

the given matrix is a stoichastic matrix

4)true

because u.v=v*v*cos(theta)

cos(theta) <=1

5)false