need in 10 mins
qno 12 A is identity matrix
need in 10 mins qno 12 A is identity matrix escite eeometrically the effeet of the transformation T 12) Let A-o Defi...
Assume that T is a linear transformation. Find the standard matrix of T. TR2-R2, first performs a horizontal shear that transforms e into ez + 18e, (leaving e, unchanged) and then reflects points through the line Xz = -X (Type an integer or simplified fraction for each matrix element.)
9 QUESTION 9 Define a transformation T by T(x) Ax where A Describe geometrically the effect of the transformation T O Projection onto x2-axis O Horizontal shear O Vertical shear O Projection onto x1-axis
(12) (after 3.3) (a) Find a linear transformation T. Rº Rº such that T(x) = Ax that reflects a vector (1), 12) about the Tz-axis. (b) Find a linear transformation SR2 R2 such that T(x) = Bx that rotates a vector (2, 2) counterclockwise by 135 degrees. (c) Find a linear transformation (with domain and codomain) that has the effect of first reflecting as in (a) and then rotating as in (b). Give the matrix of this transformation explicitly. How...
X1 Let x = V = and v2 - and let T: R2R2 be a linear transformation that maps x into xxv, + XxV2. Find a matrix A such that T(x) is Ax for each x. X2 A= Assume that is a linear transformation. Find the standard matrix of T. T:R3-R2, T(41) = (1,3), and T(62) =(-4,6), and T(03) = (3. – 2), where e1, 22, and ez are the columns of the 3*3 identity matrix. A= (Type an integer...
x 1.9.9 wuestion map Assume that Tis a linear transformation. Find the standard matrix of T. unchanged) and then reflects points through the line x2 + x4 T:R-R, first performs a horizontal shear that transforms e, into ez + 14, (leaving AO (Type an integer or simplified fraction for each matrix element.)