APPM 2360 17 October, 2013 Worksheet #7 1. Consider the space
... fails to satisfy second condition of subspace definition. Therefore W is not subspace. (b) YES Let u = ax3 + bx2 + cx + d ∈ W and v = a1 x3 + b1 x2 + c1 x + d1 ∈ W then i. u + v = (a + a1 )x3 + (b + b1 )x2 + (c + c1 )x + (d + d1 ) ∈ W ii. ∀λ ∈ R we get λu = λax3 + λbx2 + λcx + λd ∈ W Thus W is subsp ...
... fails to satisfy second condition of subspace definition. Therefore W is not subspace. (b) YES Let u = ax3 + bx2 + cx + d ∈ W and v = a1 x3 + b1 x2 + c1 x + d1 ∈ W then i. u + v = (a + a1 )x3 + (b + b1 )x2 + (c + c1 )x + (d + d1 ) ∈ W ii. ∀λ ∈ R we get λu = λax3 + λbx2 + λcx + λd ∈ W Thus W is subsp ...
Linear Algebra and TI 89
... Notice the top of the screen in the last figure has F1, F2, F3, F6, and F7 are highlighted. This means that you can press these keys and apply the options provided in them. For example, F1 9 allows you to resize the width of the columns. F6 has many commands you might want to explore. There is howev ...
... Notice the top of the screen in the last figure has F1, F2, F3, F6, and F7 are highlighted. This means that you can press these keys and apply the options provided in them. For example, F1 9 allows you to resize the width of the columns. F6 has many commands you might want to explore. There is howev ...
