number 5

Eepress the system Rule to soive for x, y and s Show the vahuns of detcA) detAy), det(As), ana Given the matrices below: 16 15 2 0-1 00-3 0 10 -1 a) Find A truct the 2x2 matrix transformation for a counter-clockwise rotation of 45 degrees and use it to b) Find A- c) Find det B d Find det(AB) determine the 45 degree rotation transformation of the ve tor [-6,6) V. Consider the linear (2x-y3x + 3y, x-y) transformation T: R. R*, where TCx,y) a) Express T as a matrix A. b) What does T do to the vector (1,10j c) Can you find a vector v in R2 such that T(v) = (7,153)? d) Can you find a vector w in R2 such that T(w) (5,5,5)? Given the matrix below, for what values of ? is the matrix non-invertible? 7 ?-4