a) find the standard of matrix for the linear transformation x--->w defined by t

Question

a) find the standard of matrix for the linear transformation x--->w defined by the equations w1= 2x1- 3x2 + x3 w2 = 3x1+5x2 -x3 b) find the image of the vector x=(-1,2,4) under T by substituting in the equations and then by using the standard matrix.

Explanation / Answer

All you have to do is to recognize that T (x,y,z)=AX=w Thus from the given transformation, you can pick up your standard matrix. Just pick respective x,y,z values from the x- coordinate , I mean: 3z-2y=ox-2y+3z --> (0,-2,3)is your first row of your standard matrix 4x+5z=4x+0y+5z--> (4,0,5) is your second row of your standard matrix Thus Matrix is: 0 -2 3 4 0 5 To find T(2,3,1) --> multiply your matrix by (2,3,1) and you get : (-3,13) I hope this is helpful. feel free to navigate my web at: http:// www.mathvideos.2join2.com A+ Math video solutions in Montreal Quebec Canada

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.