Question: Let v be a non-zero vector in R3. Arguing geometrically, describe the image and kernel of each linear transformation below: (a) T from R3 to
Let v be a non-zero vector in R3. Arguing geometrically, describe the image and kernel of each linear transformation below: (a) T from R3 to R defined by T (x) = v x. (b) T from R3 to R3 defined by T (x) = v x. Hint: From Math 205, recall that the cross product of two vectors is a thrid vector orthogonal to the two inputs. The length of the new vector is determined by the lengths of the inputs and the angle between them, and the direction is determined by the right-hand rule
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
