Question: Please help me with question b) and e) Page ( a > ol3 Computation 3 (25 points): Linear Transformation Consider the linear transformation L:R3>R2 described

Please help me with question b) and e)

Please help me with question b) and e) Page ( a >
Page ( a > ol3 Computation 3 (25 points): Linear Transformation Consider the linear transformation L:R3>R2 described as below: 1 x1 X1+XZ 2 L x2] = 2{ x3 x +x 2\\/ 1 3 Note: this is an example of a cabinet transformation, in which two of the axes (in this case, x2 1 and x3) are kept unchanged, while the remaining axis x1 is scaled by E and positioned to form a certain angle to the other axes in the plane. This angle in our case is 135, but it could be different. Let V be a matrix representation of a 3D object. Each column vector of V is a vertex, and there is an edge connecting one vertex to the vertex on its right side. 01110 V=00010 11001 3) Find the kernel of L. b) Find the range of L. c) Find A as the matrix representation of L with respect to the standard basis. d) Find AV e) Draw the result matrix as a shape in R2 where each of the column vector is a vertex, and there is an edge connecting one vertex to the one on its right side. ZOOM +

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!