Question

Let L:R3→R3 be a linear transformation.

• If L is the rescaling transformation by the factor 5, then
       L(15,−16,−24) =   (  ,  ,  )
• If L projects R3 orthogonally onto the xy-plane, then
       L(15,−16,−24) =   (  ,  ,  )
• If L projects R3 orthogonally onto the xz-plane, then
       L(15,−16,−24) =   (  ,  ,  )
• If L RHR-rotates R3 about the positively oriented y-axis through π / 23 , then
       ‖L(15,−16,−24)‖^2 = _____
• If L is an isometry, then  ‖L(15,−16,−24)‖^2 = _____

Answer 1

L 15-16, - -Bo,--120) 16 -24)3 ーム.(15,44-24). 23 0 0.136 0 0.990L- 0-136 -4 sl ocaeh CamScanner

(0-39.LX1-5), t 0 +ーに.0136.)즈(-34) @136. 15)--to-t l0.91) Λ.(-요4) 18.139 -16 -dl144- 10-51-46 aa -16-44 J35-ナーズ35T-57 Scanned with Scanne